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	2480c	Isogeny class
Conductor	2480	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4920320 = 210 · 5 · 312	Discriminant
Eigenvalues	2+ -2 5+  0  0  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-96,-380]	[a1,a2,a3,a4,a6]
Generators	[-6:4:1]	Generators of the group modulo torsion
j	96550276/4805	j-invariant
L	2.1629195883035	L(r)(E,1)/r!
Ω	1.5286044441434	Real period
R	0.70748178071519	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	1240b2 9920bb2 22320n2 12400e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480c2

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

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Quadratic twists for elliptic curve 2480c2

-4	8	-3	5	-7	-31
1240b2	9920bb2	22320n2	12400e2	121520ba2	76880d2

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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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