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	2480g	Isogeny class
Conductor	2480	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	6720	Modular degree for the optimal curve
Δ	-23832800000 = -1 · 28 · 55 · 313	Discriminant
Eigenvalues	2+ -3 5- -2  2 -2 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-38452,2902204]	[a1,a2,a3,a4,a6]
Generators	[153:-775:1]	Generators of the group modulo torsion
j	-24560689104608256/93096875	j-invariant
L	1.9940740808966	L(r)(E,1)/r!
Ω	1.052167845927	Real period
R	0.1263470201778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1240c1 9920v1 22320h1 12400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480g1

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
+	-3	-	-2	2	-2	-1	-1	-4	4	-	3	-3	11	2	3	7	4	-8	-3	-15	12	-17	-6	-2

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Quadratic twists for elliptic curve 2480g1

-4	8	-3	5	-7	-31
1240c1	9920v1	22320h1	12400k1	121520e1	76880l1

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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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