Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632bb |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
100028018435072 = 210 · 76 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81944,-8988580] |
[a1,a2,a3,a4,a6] |
Generators |
[150558:3562741:216] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
8.8479109060894 |
L(r)(E,1)/r! |
Ω |
0.28220369806738 |
Real period |
R |
5.2254872200894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768b1 |
Quadratic twists by: -7 |