Cremona's table of elliptic curves

2485 = 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	5+ 7- 71-	Signs for the Atkin-Lehner involutions
Class	2485b	Isogeny class
Conductor	2485	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-4410875 = -1 · 53 · 7 · 712	Discriminant
Eigenvalues	-2 -1 5+ 7- -5 -3  7  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,14,-104]	[a1,a2,a3,a4,a6]
Generators	[11:35:1]	Generators of the group modulo torsion
j	282300416/4410875	j-invariant
L	1.1952504437611	L(r)(E,1)/r!
Ω	1.1987880299749	Real period
R	0.49852451554179	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	39760k1 22365m1 12425d1 17395p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2485b1

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	-1	+	-	-5	-3	7	8	-6	-1	10	-6	0	-6	-3	-4	-2	2	0	-	14	11	12	14	-13

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Quadratic twists for elliptic curve 2485b1

-4	-3	5	-7
39760k1	22365m1	12425d1	17395p1

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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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