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	8	Product of Tamagawa factors cp
Δ	-1.9365391528991E+27	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,59979427,-2109658024323]	[a1,a2,a3,a4,a6]
Generators	[101651111645475765722820219544793:-28868190062219697604150169458656242:1271484693164051280921552209]	Generators of the group modulo torsion
j	23863307543269011628279763111/1936539152899131837389760000	j-invariant
L	1.9238020283583	L(r)(E,1)/r!
Ω	0.022233844189219	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	89040ci3 33390br3 55650dg3 77910be3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130d4

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 11130d4

-4	-3	5	-7
89040ci3	33390br3	55650dg3	77910be3

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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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