Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120g |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1679360000 = 216 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -6 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,-1121] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:32:1] |
Generators of the group modulo torsion |
j |
55990084/25625 |
j-invariant |
L |
2.9979366377065 |
L(r)(E,1)/r! |
Ω |
1.177717688917 |
Real period |
R |
1.2727738854222 |
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 |
13120y1 1640c1 118080cy1 65600h1 |
Quadratic twists by: -4 8 -3 5 |