Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bm |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-331467980800 = -1 · 219 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2608,-57408] |
[a1,a2,a3,a4,a6] |
Generators |
[78497922:1071865434:389017] |
Generators of the group modulo torsion |
j |
-19165185625/3236992 |
j-invariant |
L |
8.8256442990421 |
L(r)(E,1)/r! |
Ω |
0.33096686542712 |
Real period |
R |
13.333123680903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450ba1 83600cq1 |
Quadratic twists by: -4 5 |