Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248g |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
2999573553093392 = 24 · 119 · 433 |
Discriminant |
Eigenvalues |
2+ 2 -2 1 11+ 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36824,686303] |
[a1,a2,a3,a4,a6] |
j |
146377472/79507 |
j-invariant |
L |
2.357322201229 |
L(r)(E,1)/r! |
Ω |
0.39288703479082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41624c1 83248c1 |
Quadratic twists by: -4 -11 |