Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816cf |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
5923910952419328 = 234 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465217,-122231617] |
[a1,a2,a3,a4,a6] |
Generators |
[23242:1214745:8] |
Generators of the group modulo torsion |
j |
42476766863084497/22597926912 |
j-invariant |
L |
9.402560993134 |
L(r)(E,1)/r! |
Ω |
0.18280979023344 |
Real period |
R |
8.5722624365508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816w1 22704bd1 |
Quadratic twists by: -4 8 |