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	11130be	Isogeny class
Conductor	11130	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-113258880000 = -1 · 210 · 32 · 54 · 7 · 532	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,255,16137]	[a1,a2,a3,a4,a6]
Generators	[-6:123:1]	Generators of the group modulo torsion
j	1833318007919/113258880000	j-invariant
L	8.5150672350034	L(r)(E,1)/r!
Ω	0.80221549906669	Real period
R	0.26536096737441	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	89040bi1 33390n1 55650e1 77910bq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130be1

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

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Quadratic twists for elliptic curve 11130be1

-4	-3	5	-7
89040bi1	33390n1	55650e1	77910bq1

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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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