Atkin-Lehner |
2+ 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590p |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
37497600 |
Modular degree for the optimal curve |
Δ |
-7.1451015547229E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7209678465,235627474027581] |
[a1,a2,a3,a4,a6] |
j |
-56851754726231151287910819578641/98012367005801250816000 |
j-invariant |
L |
2.1047093581674 |
L(r)(E,1)/r! |
Ω |
0.052617733953068 |
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 |
13530u1 |
Quadratic twists by: -3 |