Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bd |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
66908160 |
Modular degree for the optimal curve |
Δ |
7.2025028880162E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -3 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2846150410,-58443556509700] |
[a1,a2,a3,a4,a6] |
j |
17223850138378767661426537/486537618456576 |
j-invariant |
L |
1.488221481778 |
L(r)(E,1)/r! |
Ω |
0.020669743798177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278j1 |
Quadratic twists by: -23 |