Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018t |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3696000 |
Modular degree for the optimal curve |
Δ |
-6176620517081873408 = -1 · 210 · 116 · 237 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-652092,-235160065] |
[a1,a2,a3,a4,a6] |
j |
-116930169/23552 |
j-invariant |
L |
0.83101455116129 |
L(r)(E,1)/r! |
Ω |
0.083101370960845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1058a1 5566i1 |
Quadratic twists by: -11 -23 |