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	11130n	Isogeny class
Conductor	11130	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	4832378880 = 214 · 3 · 5 · 7 · 532	Discriminant
Eigenvalues	2+ 3- 5+ 7- -6 -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2264,41126]	[a1,a2,a3,a4,a6]
Generators	[26:-9:1]	Generators of the group modulo torsion
j	1282558550483449/4832378880	j-invariant
L	3.6862802912691	L(r)(E,1)/r!
Ω	1.3757924222518	Real period
R	2.6793869712086	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	89040bf1 33390ca1 55650cf1 77910q1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130n1

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	2	8	4	-4	-2	-8	2	6	-4	+	-4	-2	-8	6	-6	-4	0	-6	2

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Quadratic twists for elliptic curve 11130n1

-4	-3	5	-7
89040bf1	33390ca1	55650cf1	77910q1

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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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