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	2480a	Isogeny class
Conductor	2480	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	246016000 = 211 · 53 · 312	Discriminant
Eigenvalues	2+  0 5+  0 -2  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5323,-149478]	[a1,a2,a3,a4,a6]
Generators	[154:1638:1]	Generators of the group modulo torsion
j	8144476196418/120125	j-invariant
L	2.9504696086629	L(r)(E,1)/r!
Ω	0.55893437822471	Real period
R	5.2787406243184	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	1240e2 9920x2 22320o2 12400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480a2

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	+	0	-2	2	0	8	2	0	+	-10	-2	-8	12	-10	0	-12	-12	-8	-16	-12	12	-10	-2

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Quadratic twists for elliptic curve 2480a2

-4	8	-3	5	-7	-31
1240e2	9920x2	22320o2	12400a2	121520y2	76880b2

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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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