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	15680bm	Isogeny class
Conductor	15680	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-4818903040000 = -1 · 216 · 54 · 76	Discriminant
Eigenvalues	2+  0 5- 7- -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2548,93296]	[a1,a2,a3,a4,a6]
Generators	[22:400:1]	Generators of the group modulo torsion
j	237276/625	j-invariant
L	4.5944417920685	L(r)(E,1)/r!
Ω	0.53957527675165	Real period
R	1.0643653420631	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	15680dk4 1960b4 78400w3 320b4	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680bm4

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	-	-	-4	-2	-2	4	4	2	8	-6	6	8	-4	-6	-4	-2	-8	0	6	0	-16	6	14

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Quadratic twists for elliptic curve 15680bm4

-4	8	5	-7
15680dk4	1960b4	78400w3	320b4

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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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