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	15680bj	Isogeny class
Conductor	15680	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-157351936000 = -1 · 219 · 53 · 74	Discriminant
Eigenvalues	2+  2 5- 7+ -3 -5  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-31425,-2133823]	[a1,a2,a3,a4,a6]
j	-5452947409/250	j-invariant
L	3.22716295992	L(r)(E,1)/r!
Ω	0.17928683110667	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15680df2 490e2 78400n2 15680u2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680bj2

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	-	+	-3	-5	6	1	3	6	-4	-11	3	10	3	-3	0	4	4	12	-4	-10	12	6	14

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Quadratic twists for elliptic curve 15680bj2

-4	8	5	-7
15680df2	490e2	78400n2	15680u2

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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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