Atkin-Lehner |
5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66755c |
Isogeny class |
Conductor |
66755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
330913402934465 = 5 · 139 · 792 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34226,2260318] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1479:1] |
Generators of the group modulo torsion |
j |
918613512361/68557385 |
j-invariant |
L |
5.5150789473156 |
L(r)(E,1)/r! |
Ω |
0.53009899012882 |
Real period |
R |
5.2019330824128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5135b1 |
Quadratic twists by: 13 |