Atkin-Lehner |
2+ 3+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126c |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17043257209104 = 24 · 32 · 76 · 172 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23396,-1372800] |
[a1,a2,a3,a4,a6] |
j |
1416372722439876937/17043257209104 |
j-invariant |
L |
0.7726053283217 |
L(r)(E,1)/r! |
Ω |
0.38630266414313 |
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 |
126378bd2 |
Quadratic twists by: -3 |