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	11130bf	Isogeny class
Conductor	11130	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	1857728779200 = 26 · 310 · 52 · 7 · 532	Discriminant
Eigenvalues	2- 3- 5- 7- -2 -6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-59465,5576025]	[a1,a2,a3,a4,a6]
Generators	[100:745:1]	Generators of the group modulo torsion
j	23254576685578118161/1857728779200	j-invariant
L	8.434979928127	L(r)(E,1)/r!
Ω	0.79520203616848	Real period
R	0.17678903273373	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	89040bj2 33390o2 55650g2 77910bs2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130bf2

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

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Quadratic twists for elliptic curve 11130bf2

-4	-3	5	-7
89040bj2	33390o2	55650g2	77910bs2

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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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