Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9108f |
Isogeny class |
Conductor |
9108 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
145472976 = 24 · 33 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,325] |
[a1,a2,a3,a4,a6] |
j |
764411904/336743 |
j-invariant |
L |
3.2999093661295 |
L(r)(E,1)/r! |
Ω |
1.6499546830647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432q1 9108a1 100188j1 |
Quadratic twists by: -4 -3 -11 |