Cremona's table of elliptic curves

11130 = 2 · 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 53+	Signs for the Atkin-Lehner involutions
Class	11130d	Isogeny class
Conductor	11130	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2488320	Modular degree for the optimal curve
Δ	4.3798128321802E+20	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-132867933,-589547137923]	[a1,a2,a3,a4,a6]
Generators	[803570604107119101953897924978:-96036057486458615174881771390137:37230096739637452486245229]	Generators of the group modulo torsion
j	259408530619309370653612855129/437981283218022727680	j-invariant
L	1.9238020283583	L(r)(E,1)/r!
Ω	0.044467688378437	Real period
R	43.262919627978	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89040ci1 33390br1 55650dg1 77910be1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	+	-4	-2	-6	-8	8	2	8	2	-2	-8	12	+	12	-6	8	4	10	16	12	-10	2

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Quadratic twists for elliptic curve 11130d1

-4	-3	5	-7
89040ci1	33390br1	55650dg1	77910be1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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