Atkin-Lehner |
3+ 5+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825b |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1680000 |
Modular degree for the optimal curve |
Δ |
-203324908074046875 = -1 · 310 · 56 · 195 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 3 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-316650,71800875] |
[a1,a2,a3,a4,a6] |
j |
-224721335000834209/13012794116739 |
j-invariant |
L |
3.1280018851646 |
L(r)(E,1)/r! |
Ω |
0.31280027674678 |
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 |
5073g1 |
Quadratic twists by: 5 |