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	13120bo	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	1.1105174640421	L(r)(E,1)/r!
Ω	0.55525873202105	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	13120bk1 6560j2 118080ef1 65600bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120bo1

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

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Quadratic twists for elliptic curve 13120bo1

-4	8	-3	5
13120bk1	6560j2	118080ef1	65600bz1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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