Cremona's table of elliptic curves

2480 = 2⁴ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	2480l	Isogeny class
Conductor	2480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-5079040000 = -1 · 218 · 54 · 31	Discriminant
Eigenvalues	2- -2 5+  0 -2  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1056,13300]	[a1,a2,a3,a4,a6]
Generators	[12:50:1]	Generators of the group modulo torsion
j	-31824875809/1240000	j-invariant
L	2.1127827732022	L(r)(E,1)/r!
Ω	1.3538692627886	Real period
R	0.78027577376654	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	310a1 9920bh1 22320ca1 12400x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480l1

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

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Quadratic twists for elliptic curve 2480l1

-4	8	-3	5	-7	-31
310a1	9920bh1	22320ca1	12400x1	121520co1	76880p1

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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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