Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bf |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
329068267200 = 26 · 314 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13143,579292] |
[a1,a2,a3,a4,a6] |
j |
5381455253824/7053075 |
j-invariant |
L |
1.9224634025695 |
L(r)(E,1)/r! |
Ω |
0.96123182109553 |
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 |
123840bu1 61920ca4 41280bj1 |
Quadratic twists by: -4 8 -3 |