Atkin-Lehner |
2- 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
96560h |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
67236659200 = 217 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 0 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1136,-8236] |
[a1,a2,a3,a4,a6] |
Generators |
[44:170:1] |
Generators of the group modulo torsion |
j |
39616946929/16415200 |
j-invariant |
L |
8.235001095082 |
L(r)(E,1)/r! |
Ω |
0.85293532819798 |
Real period |
R |
1.2068618845639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12070a1 |
Quadratic twists by: -4 |