Cremona's table of elliptic curves

15680 = 2⁶ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	15680cw	Isogeny class
Conductor	15680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-16441671680000000 = -1 · 232 · 57 · 72	Discriminant
Eigenvalues	2- -3 5+ 7- -2  0  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,58772,-2825648]	[a1,a2,a3,a4,a6]
Generators	[1402:53248:1]	Generators of the group modulo torsion
j	1747829720511/1280000000	j-invariant
L	2.478141680126	L(r)(E,1)/r!
Ω	0.21941210254489	Real period
R	2.8236155291604	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	15680ba2 3920bj2 78400iy2 15680dg2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680cw2

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
-	-3	+	-	-2	0	4	6	-3	-9	-4	4	7	-5	8	2	-10	1	-9	-2	4	-10	7	-1	-14

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Quadratic twists for elliptic curve 15680cw2

-4	8	5	-7
15680ba2	3920bj2	78400iy2	15680dg2

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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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