Atkin-Lehner |
3+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125373b |
Isogeny class |
Conductor |
125373 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8933568 |
Modular degree for the optimal curve |
Δ |
7157382621915778677 = 37 · 2310 · 79 |
Discriminant |
Eigenvalues |
-2 3+ -4 -2 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2891690,1889255822] |
[a1,a2,a3,a4,a6] |
j |
64550662144/172773 |
j-invariant |
L |
0.23642892110711 |
L(r)(E,1)/r! |
Ω |
0.23642532159781 |
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 |
125373c1 |
Quadratic twists by: -23 |