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	2480h	Isogeny class
Conductor	2480	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-39680 = -1 · 28 · 5 · 31	Discriminant
Eigenvalues	2- -1 5+  4  0  2 -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-101,-359]	[a1,a2,a3,a4,a6]
j	-449511424/155	j-invariant
L	1.5047088983106	L(r)(E,1)/r!
Ω	0.75235444915531	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	620a1 9920z1 22320bx1 12400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480h1

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
-	-1	+	4	0	2	-3	7	0	-6	+	5	-3	1	-6	9	3	-4	10	-3	-1	10	9	12	2

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Quadratic twists for elliptic curve 2480h1

-4	8	-3	5	-7	-31
620a1	9920z1	22320bx1	12400m1	121520cx1	76880n1

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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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