Atkin-Lehner |
2+ 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328h |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
1.7520842271259E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3357309,1246298445] |
[a1,a2,a3,a4,a6] |
j |
4086935924979581483008/1711019753052668253 |
j-invariant |
L |
1.3478779350039 |
L(r)(E,1)/r! |
Ω |
0.13478778732437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cm1 13416g1 |
Quadratic twists by: -4 8 |