Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136p |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21385728 |
Modular degree for the optimal curve |
Δ |
8.9640394856341E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288605664,1219238956800] |
[a1,a2,a3,a4,a6] |
j |
649050241411873013006098657/218848620254738264358912 |
j-invariant |
L |
0.82580809983016 |
L(r)(E,1)/r! |
Ω |
0.045878227431201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142g1 |
Quadratic twists by: -4 |