Atkin-Lehner |
2+ 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520g |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
16429531250000 = 24 · 510 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36091,-2619834] |
[a1,a2,a3,a4,a6] |
j |
324946983217874944/1026845703125 |
j-invariant |
L |
2.0786557888819 |
L(r)(E,1)/r! |
Ω |
0.34644263371809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34760a1 |
Quadratic twists by: -4 |