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	11130c	Isogeny class
Conductor	11130	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	269256960 = 28 · 34 · 5 · 72 · 53	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-318,1908]	[a1,a2,a3,a4,a6]
Generators	[-4:58:1]	Generators of the group modulo torsion
j	3573857582569/269256960	j-invariant
L	2.2023455868554	L(r)(E,1)/r!
Ω	1.7049826730171	Real period
R	0.64585570918389	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	89040ch1 33390bs1 55650dh1 77910bf1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130c1

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	0	0	6	-4	-2	6	-4	-12	+	-12	-2	12	-8	14	-4	12	2	2

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Quadratic twists for elliptic curve 11130c1

-4	-3	5	-7
89040ch1	33390bs1	55650dh1	77910bf1

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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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