Atkin-Lehner |
2- 3- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170z |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
2790400 |
Modular degree for the optimal curve |
Δ |
-9.3229552211306E+18 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,395887,-111404383] |
[a1,a2,a3,a4,a6] |
Generators |
[313:6408:1] |
Generators of the group modulo torsion |
j |
9412628855520454199/12788690289616800 |
j-invariant |
L |
8.9042266610323 |
L(r)(E,1)/r! |
Ω |
0.12276773924629 |
Real period |
R |
0.36264521614949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390g1 |
Quadratic twists by: -3 |