Atkin-Lehner |
5+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975b |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
306720 |
Modular degree for the optimal curve |
Δ |
-165400361328125 = -1 · 510 · 73 · 11 · 672 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ 11+ 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6888,-659594] |
[a1,a2,a3,a4,a6] |
j |
-3700897225/16936997 |
j-invariant |
L |
0.47515981277361 |
L(r)(E,1)/r! |
Ω |
0.23758011531197 |
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 |
128975m1 |
Quadratic twists by: 5 |