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	2485c	Isogeny class
Conductor	2485	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-43581032915 = -1 · 5 · 73 · 714	Discriminant
Eigenvalues	0 -1 5- 7+  1 -1  1  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,755,5848]	[a1,a2,a3,a4,a6]
Generators	[32:248:1]	Generators of the group modulo torsion
j	47532342247424/43581032915	j-invariant
L	2.2766769768659	L(r)(E,1)/r!
Ω	0.74522851905411	Real period
R	0.76375129193782	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	39760bd1 22365c1 12425f1 17395g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2485c1

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

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Quadratic twists for elliptic curve 2485c1

-4	-3	5	-7
39760bd1	22365c1	12425f1	17395g1

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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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