Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018bk |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-63456691430528 = -1 · 27 · 116 · 234 |
Discriminant |
Eigenvalues |
2- 3 -2 -2 11- -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76011,-8056133] |
[a1,a2,a3,a4,a6] |
j |
-97967097/128 |
j-invariant |
L |
4.0250809089892 |
L(r)(E,1)/r! |
Ω |
0.14375298650622 |
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 |
1058e1 128018bi1 |
Quadratic twists by: -11 -23 |