Cremona's table of elliptic curves

8680 = 2³ · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 31+	Signs for the Atkin-Lehner involutions
Conductor	8680	Conductor
Count	2	Number of curves in isogeny class
Curves	8680d1 8680d2	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2+  2 5+ 7+  0  4 -4  4	Hecke eigenvalues for primes less than 20
L	5.6048062255133	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17360k 69440bk 78120be 43400r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 8680d

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	+	+	0	4	-4	4	-2	-6	+	4	-6	-2	-12	4	-4	-2	12	8	-16	-4	-6	2	6

---

Quadratic twists for isogeny class 8680d

-4	8	-3	5	-7
17360k	69440bk	78120be	43400r	60760o

---

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