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	11130h	Isogeny class
Conductor	11130	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-1090740 = -1 · 22 · 3 · 5 · 73 · 53	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  3 -3  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-23,57]	[a1,a2,a3,a4,a6]
Generators	[4:-9:1]	Generators of the group modulo torsion
j	-1439069689/1090740	j-invariant
L	2.6823199960987	L(r)(E,1)/r!
Ω	2.533823001876	Real period
R	0.17643431776889	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	89040ca1 33390bv1 55650cu1 77910bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130h1

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
+	+	+	-	3	-3	2	-6	1	-8	10	2	-2	-3	7	-	0	-1	14	-8	-10	-16	6	3	2

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Quadratic twists for elliptic curve 11130h1

-4	-3	5	-7
89040ca1	33390bv1	55650cu1	77910bl1

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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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