Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986be |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-138267246447616 = -1 · 210 · 117 · 132 · 41 |
Discriminant |
Eigenvalues |
2- -2 1 3 11- 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,565764] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6122:1] |
Generators of the group modulo torsion |
j |
-47045881/78048256 |
j-invariant |
L |
9.0661554435441 |
L(r)(E,1)/r! |
Ω |
0.468852858241 |
Real period |
R |
0.24171110636548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726d1 |
Quadratic twists by: -11 |