Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58378i |
Isogeny class |
Conductor |
58378 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3766070141453175104 = 26 · 1712 · 101 |
Discriminant |
Eigenvalues |
2- 2 -2 2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9992759,12153872461] |
[a1,a2,a3,a4,a6] |
j |
4571791616781001873/156025246016 |
j-invariant |
L |
5.5765468426054 |
L(r)(E,1)/r! |
Ω |
0.23235611852354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3434b2 |
Quadratic twists by: 17 |