Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025ct |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
6778845703125 = 38 · 59 · 232 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 3 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-163875,-25533594] |
[a1,a2,a3,a4,a6] |
j |
646172672/9 |
j-invariant |
L |
0.94914339242168 |
L(r)(E,1)/r! |
Ω |
0.23728579569781 |
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 |
39675bt1 119025co1 119025cu1 |
Quadratic twists by: -3 5 -23 |