Atkin-Lehner |
2+ 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072d |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
-3.7056583843938E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-594903,-942858781] |
[a1,a2,a3,a4,a6] |
j |
-1996248846403814656/31770047877175791 |
j-invariant |
L |
0.58232436101156 |
L(r)(E,1)/r! |
Ω |
0.072790522543916 |
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 |
42024h1 |
Quadratic twists by: -3 |