Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120h |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
419840000 = 214 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:25:1] [-4:24:1] |
Generators of the group modulo torsion |
j |
44851536/25625 |
j-invariant |
L |
5.9220429193517 |
L(r)(E,1)/r! |
Ω |
1.3963033072824 |
Real period |
R |
2.1206148006903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bd1 1640g1 118080bz1 65600n1 |
Quadratic twists by: -4 8 -3 5 |