Atkin-Lehner |
3- 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925y |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
3958845890625 = 38 · 56 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 6 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249263,-47920608] |
[a1,a2,a3,a4,a6] |
j |
109616832370851625/253366137 |
j-invariant |
L |
1.7093282693933 |
L(r)(E,1)/r! |
Ω |
0.21366586798785 |
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 |
5037b1 |
Quadratic twists by: 5 |