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	11130g	Isogeny class
Conductor	11130	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	50688	Modular degree for the optimal curve
Δ	-909260410060800 = -1 · 222 · 32 · 52 · 73 · 532	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  0  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-34573,-2882723]	[a1,a2,a3,a4,a6]
Generators	[271:2647:1]	Generators of the group modulo torsion
j	-4570403441863692889/909260410060800	j-invariant
L	2.7224071638297	L(r)(E,1)/r!
Ω	0.17320131125576	Real period
R	1.3098472639013	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	89040by1 33390bu1 55650ct1 77910bi1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130g1

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
+	+	+	-	0	0	2	0	4	-2	-2	-10	4	0	4	-	-6	-10	-4	-8	8	8	-12	6	2

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Quadratic twists for elliptic curve 11130g1

-4	-3	5	-7
89040by1	33390bu1	55650ct1	77910bi1

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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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