Cremona's table of elliptic curves

5720 = 2³ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	5720	Conductor
Count	2	Number of curves in isogeny class
Curves	5720a1 5720a2	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2+  2 5+ -4 11- 13+ -2  0	Hecke eigenvalues for primes less than 20
L	1.9363276407783	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11440b 45760t 51480br 28600r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5720a

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	+	-4	-	+	-2	0	4	4	4	10	-8	-8	2	4	4	-4	4	12	2	-4	12	14	0

---

Quadratic twists for isogeny class 5720a

-4	8	-3	5	-11	13
11440b	45760t	51480br	28600r	62920u	74360r

---

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