Atkin-Lehner |
2- 3- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526bb |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-791975617855488 = -1 · 215 · 37 · 113 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 11- -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61907,6096755] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:-3134:1] [151:342:1] |
Generators of the group modulo torsion |
j |
-35992240580216809/1086386307072 |
j-invariant |
L |
10.919219584258 |
L(r)(E,1)/r! |
Ω |
0.50154239155052 |
Real period |
R |
0.060475776369444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842e1 |
Quadratic twists by: -3 |