Atkin-Lehner |
2- 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328cm |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
360 |
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] |
Generators |
[2382:65403:1] |
Generators of the group modulo torsion |
j |
4086935924979581483008/1711019753052668253 |
j-invariant |
L |
4.4895961646066 |
L(r)(E,1)/r! |
Ω |
0.11576218632755 |
Real period |
R |
0.4309213864248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328h1 26832b1 |
Quadratic twists by: -4 8 |