Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575q |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1707480 |
Modular degree for the optimal curve |
Δ |
-1.3781208303851E+20 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -5 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1087513,-714284594] |
[a1,a2,a3,a4,a6] |
j |
-7225/7 |
j-invariant |
L |
1.7778907753164 |
L(r)(E,1)/r! |
Ω |
0.071115631000715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575z1 50575j1 |
Quadratic twists by: 5 17 |