Cremona's table of elliptic curves

25760 = 2⁵ · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	25760n	Isogeny class
Conductor	25760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	331788800 = 29 · 52 · 72 · 232	Discriminant
Eigenvalues	2- -2 5- 7- -2  0 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-320,-2132]	[a1,a2,a3,a4,a6]
Generators	[-9:10:1]	Generators of the group modulo torsion
j	7100029448/648025	j-invariant
L	3.7944339517348	L(r)(E,1)/r!
Ω	1.1350841264541	Real period
R	1.6714329199494	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25760j2 51520bx2 128800a2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 25760n2

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	-	-	-2	0	-2	0	-	6	4	-4	-10	2	4	-8	-6	10	-6	8	-2	-12	-8	-6	2

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Quadratic twists for elliptic curve 25760n2

-4	8	5
25760j2	51520bx2	128800a2

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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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