Atkin-Lehner |
2+ 3+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
79992a |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
375391577088 = 210 · 33 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2139,24102] |
[a1,a2,a3,a4,a6] |
j |
39146446476/13577531 |
j-invariant |
L |
1.7508848124376 |
L(r)(E,1)/r! |
Ω |
0.87544240429756 |
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 |
79992k1 |
Quadratic twists by: -3 |