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	15680bk	Isogeny class
Conductor	15680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	32256	Modular degree for the optimal curve
Δ	-472252497920 = -1 · 214 · 5 · 78	Discriminant
Eigenvalues	2+  3 5- 7+  2  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1372,-38416]	[a1,a2,a3,a4,a6]
j	-3024/5	j-invariant
L	5.9375246959057	L(r)(E,1)/r!
Ω	0.37109529349411	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15680dh1 980b1 78400q1 15680bd1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680bk1

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	6	2	0	-9	-3	2	-8	5	-1	8	-4	8	-7	3	8	14	4	1	13	-10

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Quadratic twists for elliptic curve 15680bk1

-4	8	5	-7
15680dh1	980b1	78400q1	15680bd1

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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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