Atkin-Lehner |
2- 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bd |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
618101592257268 = 22 · 37 · 73 · 17 · 594 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3359309,2370701121] |
[a1,a2,a3,a4,a6] |
j |
5751033839651252476297/847875983892 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
42126c4 |
Quadratic twists by: -3 |