Atkin-Lehner |
2- 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bd |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12424534505436816 = 24 · 38 · 76 · 172 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210569,36855033] |
[a1,a2,a3,a4,a6] |
j |
1416372722439876937/17043257209104 |
j-invariant |
L |
3.2142442217577 |
L(r)(E,1)/r! |
Ω |
0.40178050928045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42126c2 |
Quadratic twists by: -3 |