Atkin-Lehner |
2- 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125504f |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2434608922624 = -1 · 225 · 372 · 53 |
Discriminant |
Eigenvalues |
2- -2 -1 4 -1 6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2719,-50657] |
[a1,a2,a3,a4,a6] |
j |
8477185319/9287296 |
j-invariant |
L |
1.7619377264992 |
L(r)(E,1)/r! |
Ω |
0.44048464804571 |
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 |
125504b1 31376d1 |
Quadratic twists by: -4 8 |