Atkin-Lehner |
2- 3- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378bf |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
59904000 |
Modular degree for the optimal curve |
Δ |
3.5271569162928E+25 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124763783,453977664639] |
[a1,a2,a3,a4,a6] |
j |
294619701062615724886081321/48383496794140483756032 |
j-invariant |
L |
8.1054841528912 |
L(r)(E,1)/r! |
Ω |
0.06234987448882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126b1 |
Quadratic twists by: -3 |