Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bc |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
-4.7096712451842E+22 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2719452,-10298285753] |
[a1,a2,a3,a4,a6] |
j |
1255486201279267671/26584866370304000 |
j-invariant |
L |
4.8404916060044 |
L(r)(E,1)/r! |
Ω |
0.055005585075706 |
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 |
8030c1 |
Quadratic twists by: -11 |