Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bc |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
3092911250000 = 24 · 57 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6033,161312] |
[a1,a2,a3,a4,a6] |
j |
97152876544/12371645 |
j-invariant |
L |
1.5414113137814 |
L(r)(E,1)/r! |
Ω |
0.77070565608424 |
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 |
14300g1 11440j1 |
Quadratic twists by: -4 5 |