Cremona's table of elliptic curves

13120 = 2⁶ · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 5- 41-	Signs for the Atkin-Lehner involutions
Class	13120bk	Isogeny class
Conductor	13120	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-67240000 = -1 · 26 · 54 · 412	Discriminant
Eigenvalues	2-  2 5-  2 -2 -2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-340,2562]	[a1,a2,a3,a4,a6]
j	-68117264704/1050625	j-invariant
L	3.9205306584096	L(r)(E,1)/r!
Ω	1.9602653292048	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13120bo1 6560l2 118080dw1 65600ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120bk1

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	-2	-2	2	2	-4	6	0	6	-	8	6	6	0	2	-10	6	6	14	-4	2	-6

---

Quadratic twists for elliptic curve 13120bk1

-4	8	-3	5
13120bo1	6560l2	118080dw1	65600ce1

---

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