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	2480j	Isogeny class
Conductor	2480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-3174400 = -1 · 212 · 52 · 31	Discriminant
Eigenvalues	2- -2 5+ -4 -4  0 -8 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16,84]	[a1,a2,a3,a4,a6]
Generators	[-4:10:1] [-1:10:1]	Generators of the group modulo torsion
j	-117649/775	j-invariant
L	2.6422844618954	L(r)(E,1)/r!
Ω	2.1721267540549	Real period
R	0.60822520070805	Regulator
r	2	Rank of the group of rational points
S	0.99999999999948	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	155b1 9920bc1 22320bz1 12400o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480j1

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	+	-4	-4	0	-8	-4	-2	-6	+	-4	-6	6	-8	-12	4	10	-8	0	-4	0	-2	14	-18

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Quadratic twists for elliptic curve 2480j1

-4	8	-3	5	-7	-31
155b1	9920bc1	22320bz1	12400o1	121520cz1	76880r1

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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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