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	15680ds	Isogeny class
Conductor	15680	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	43008	Modular degree for the optimal curve
Δ	-66115349708800 = -1 · 216 · 52 · 79	Discriminant
Eigenvalues	2- -2 5- 7-  4  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7775,291423]	[a1,a2,a3,a4,a6]
j	19652/25	j-invariant
L	1.6636457531913	L(r)(E,1)/r!
Ω	0.41591143829783	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15680bv1 3920g1 78400ig1 15680cs1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680ds1

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	-	-	4	2	0	-2	4	-10	4	2	12	-4	4	-2	-10	6	4	12	4	4	-14	-8	8

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Quadratic twists for elliptic curve 15680ds1

-4	8	5	-7
15680bv1	3920g1	78400ig1	15680cs1

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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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