Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107916i |
Isogeny class |
Conductor |
107916 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
47231738600784 = 24 · 3 · 172 · 237 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9169,-72904] |
[a1,a2,a3,a4,a6] |
j |
35995648/19941 |
j-invariant |
L |
1.5680747095553 |
L(r)(E,1)/r! |
Ω |
0.52269170519538 |
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 |
4692d1 |
Quadratic twists by: -23 |