Cremona's table of elliptic curves

5780 = 2² · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	5780	Conductor
Count	4	Number of curves in isogeny class
Curves	5780e1 5780e2 5780e3 5780e4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2-  2 5- -2  0  2 17+ -4	Hecke eigenvalues for primes less than 20
L	5.4563678245464	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	23120bj 92480x 52020t 28900d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5780e

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

---

Quadratic twists for isogeny class 5780e

-4	8	-3	5	17
23120bj	92480x	52020t	28900d	20a

---

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