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	2480f	Isogeny class
Conductor	2480	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-992000 = -1 · 28 · 53 · 31	Discriminant
Eigenvalues	2+  1 5- -2  2 -2 -5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25,-77]	[a1,a2,a3,a4,a6]
Generators	[6:5:1]	Generators of the group modulo torsion
j	-7023616/3875	j-invariant
L	3.6597315952179	L(r)(E,1)/r!
Ω	1.0373864493493	Real period
R	1.1759460830672	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	1240f1 9920u1 22320i1 12400g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480f1

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	-	-2	2	-2	-5	-1	4	-4	-	-1	-3	-1	-6	-9	-1	-4	-8	13	-3	4	3	-6	-10

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Quadratic twists for elliptic curve 2480f1

-4	8	-3	5	-7	-31
1240f1	9920u1	22320i1	12400g1	121520d1	76880k1

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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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