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	15680di	Isogeny class
Conductor	15680	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	4722524979200 = 215 · 52 · 78	Discriminant
Eigenvalues	2-  0 5- 7-  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2561132,1577596944]	[a1,a2,a3,a4,a6]
j	481927184300808/1225	j-invariant
L	2.0283940862753	L(r)(E,1)/r!
Ω	0.50709852156884	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	15680dj3 7840q3 78400gp4 2240t3	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15680di4

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	-	-	0	-2	-2	8	8	-6	0	2	6	-8	8	2	8	-2	-8	0	-10	-16	16	-10	14

---

Quadratic twists for elliptic curve 15680di4

-4	8	5	-7
15680dj3	7840q3	78400gp4	2240t3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations