Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992o |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
90194182144 = 217 · 114 · 47 |
Discriminant |
Eigenvalues |
2- -1 1 -4 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9720,371824] |
[a1,a2,a3,a4,a6] |
Generators |
[60:32:1] |
Generators of the group modulo torsion |
j |
1693700041/1504 |
j-invariant |
L |
3.9921624016122 |
L(r)(E,1)/r! |
Ω |
1.0663187226467 |
Real period |
R |
0.93596837424561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374g1 90992n1 |
Quadratic twists by: -4 -11 |