Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368l |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
39811200 |
Modular degree for the optimal curve |
Δ |
5.0877115226406E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -2 -2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22044769968,-1259821465648524] |
[a1,a2,a3,a4,a6] |
j |
1375088009512735250/59049 |
j-invariant |
L |
0.24780105866092 |
L(r)(E,1)/r! |
Ω |
0.012390052934168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184l1 121104g1 40368h1 |
Quadratic twists by: -4 -3 29 |