Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bt |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1756557923904 = 26 · 32 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7954,262856] |
[a1,a2,a3,a4,a6] |
j |
7392083392/233289 |
j-invariant |
L |
1.6670357073707 |
L(r)(E,1)/r! |
Ω |
0.83351794160823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108192k1 15456m1 |
Quadratic twists by: -4 -7 |