Cremona's table of elliptic curves

2528 = 2⁵ · 79

Field	Data	Notes
Atkin-Lehner	2- 79-	Signs for the Atkin-Lehner involutions
Class	2528c	Isogeny class
Conductor	2528	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	323584 = 212 · 79	Discriminant
Eigenvalues	2-  1 -3  1 -2  3  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-97,-401]	[a1,a2,a3,a4,a6]
Generators	[-6:1:1]	Generators of the group modulo torsion
j	24897088/79	j-invariant
L	3.2196040447689	L(r)(E,1)/r!
Ω	1.5202569750575	Real period
R	1.0589012573506	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	2528a1 5056h1 22752g1 63200g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2528c1

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	-3	1	-2	3	4	-2	6	8	-4	-8	-6	-4	-3	-6	-13	-14	2	5	-10	-	-16	-7	-3

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Quadratic twists for elliptic curve 2528c1

-4	8	-3	5	-7
2528a1	5056h1	22752g1	63200g1	123872l1

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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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