Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83232bs |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-70299562860135936 = -1 · 29 · 39 · 178 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -1 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,103173,167042] |
[a1,a2,a3,a4,a6] |
j |
46648/27 |
j-invariant |
L |
1.24354446955 |
L(r)(E,1)/r! |
Ω |
0.20725740951108 |
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 |
83232br1 27744g1 83232bh1 |
Quadratic twists by: -4 -3 17 |