Atkin-Lehner |
2- 3- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752l |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1230288 = 24 · 3 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,-282] |
[a1,a2,a3,a4,a6] |
Generators |
[-27235992:9202355:4741632] |
Generators of the group modulo torsion |
j |
3196715008/76893 |
j-invariant |
L |
9.4415289070053 |
L(r)(E,1)/r! |
Ω |
1.6122946946216 |
Real period |
R |
11.71191462454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16188a1 |
Quadratic twists by: -4 |