Atkin-Lehner |
2+ 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920s |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
10102482000 = 24 · 36 · 53 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1591,23420] |
[a1,a2,a3,a4,a6] |
j |
27853976786944/631405125 |
j-invariant |
L |
3.8589248386172 |
L(r)(E,1)/r! |
Ω |
1.2863088452731 |
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 |
63960c1 |
Quadratic twists by: -4 |