Cremona's table of elliptic curves

13520 = 2⁴ · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5- 13+	Signs for the Atkin-Lehner involutions
Conductor	13520	Conductor
Count	4	Number of curves in isogeny class
Curves	13520bb1 13520bb2 13520bb3 13520bb4	Curves in isogeny class
deg	4608	Modular degree for the optimal curve
Eigenvalues	2-  2 5-  2  0 13+ -6 -4	Hecke eigenvalues for primes less than 20
L	7.3819699201132	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3380i 54080ck 121680dm 67600cc	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 13520bb

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

---

Quadratic twists for isogeny class 13520bb

-4	8	-3	5	13
3380i	54080ck	121680dm	67600cc	80b

---

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