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	11130bg	Isogeny class
Conductor	11130	Conductor
∏ cp	2912	Product of Tamagawa factors cp
deg	559104	Modular degree for the optimal curve
Δ	-1.9952460009895E+20	Discriminant
Eigenvalues	2- 3- 5- 7- -6  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1248185,-416752375]	[a1,a2,a3,a4,a6]
Generators	[422:13397:1]	Generators of the group modulo torsion
j	215060458751101009927439/199524600098946662400	j-invariant
L	8.5283796190233	L(r)(E,1)/r!
Ω	0.097773334546503	Real period
R	0.11981597255861	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	89040bn1 33390q1 55650k1 77910bu1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130bg1

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

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Quadratic twists for elliptic curve 11130bg1

-4	-3	5	-7
89040bn1	33390q1	55650k1	77910bu1

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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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