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	16	Product of Tamagawa factors cp
Δ	787251200 = 215 · 52 · 312	Discriminant
Eigenvalues	2- -2 5+  0 -2  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17056,851700]	[a1,a2,a3,a4,a6]
Generators	[106:-496:1]	Generators of the group modulo torsion
j	133974081659809/192200	j-invariant
L	2.1127827732022	L(r)(E,1)/r!
Ω	1.3538692627886	Real period
R	0.39013788688327	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	310a2 9920bh2 22320ca2 12400x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480l2

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 2480l2

-4	8	-3	5	-7	-31
310a2	9920bh2	22320ca2	12400x2	121520co2	76880p2

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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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