Cremona's table of elliptic curves

13520 = 2⁴ · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	13520v	Isogeny class
Conductor	13520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1124864000000 = 215 · 56 · 133	Discriminant
Eigenvalues	2- -2 5+  0  0 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9416,-351116]	[a1,a2,a3,a4,a6]
Generators	[-60:38:1]	Generators of the group modulo torsion
j	10260751717/125000	j-invariant
L	2.9105925165278	L(r)(E,1)/r!
Ω	0.48500813034932	Real period
R	3.000560541564	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1690d2 54080dj2 121680fn2 67600ct2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13520v2

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	0	-	6	0	0	6	-6	-6	0	-10	-12	0	-12	10	12	6	6	8	-12	12	18

---

Quadratic twists for elliptic curve 13520v2

-4	8	-3	5	13
1690d2	54080dj2	121680fn2	67600ct2	13520bg2

---

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