Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bi |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
952512 = 26 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19844,1069362] |
[a1,a2,a3,a4,a6] |
Generators |
[43272:28335:512] |
Generators of the group modulo torsion |
j |
13503715467035968/14883 |
j-invariant |
L |
5.7895870674582 |
L(r)(E,1)/r! |
Ω |
1.7626909746934 |
Real period |
R |
6.5690323998899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592w1 43296x4 |
Quadratic twists by: -4 8 |