Cremona's table of elliptic curves

11480 = 2³ · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 41+	Signs for the Atkin-Lehner involutions
Class	11480a	Isogeny class
Conductor	11480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	8036000000 = 28 · 56 · 72 · 41	Discriminant
Eigenvalues	2+  0 5+ 7+ -2  4 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-503,-502]	[a1,a2,a3,a4,a6]
Generators	[-17:56:1]	Generators of the group modulo torsion
j	54977843664/31390625	j-invariant
L	3.6969365687678	L(r)(E,1)/r!
Ω	1.0914046088358	Real period
R	1.6936599583866	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	22960b1 91840l1 103320bj1 57400r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11480a1

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

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Quadratic twists for elliptic curve 11480a1

-4	8	-3	5	-7
22960b1	91840l1	103320bj1	57400r1	80360i1

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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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