Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776b |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-1226564416 = -1 · 26 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11+ 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,193,1332] |
[a1,a2,a3,a4,a6] |
j |
12422690496/19165069 |
j-invariant |
L |
1.0445719803965 |
L(r)(E,1)/r! |
Ω |
1.0445720000075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776q1 41888g1 |
Quadratic twists by: -4 8 |