Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cf |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1463058432 = 215 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1793,-28575] |
[a1,a2,a3,a4,a6] |
Generators |
[394:99:8] |
Generators of the group modulo torsion |
j |
19465109000/44649 |
j-invariant |
L |
5.772147966003 |
L(r)(E,1)/r! |
Ω |
0.73374331485092 |
Real period |
R |
3.9333564253164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592ct2 43296z2 |
Quadratic twists by: -4 8 |