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	11130bd	Isogeny class
Conductor	11130	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	46443219480 = 23 · 310 · 5 · 7 · 532	Discriminant
Eigenvalues	2- 3- 5- 7+  4 -6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1225,12737]	[a1,a2,a3,a4,a6]
Generators	[-28:173:1]	Generators of the group modulo torsion
j	203307844496401/46443219480	j-invariant
L	8.418997941464	L(r)(E,1)/r!
Ω	1.0681290490541	Real period
R	0.52546696480915	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	89040bv2 33390k2 55650l2 77910bw2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130bd2

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	-6	-2	-2	0	-8	-4	-10	-2	-12	-6	-	10	-14	-2	0	-2	-10	4	8	14

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Quadratic twists for elliptic curve 11130bd2

-4	-3	5	-7
89040bv2	33390k2	55650l2	77910bw2

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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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