Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394be |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
52715520 |
Modular degree for the optimal curve |
Δ |
-1.4406821151682E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116762743,-489060200998] |
[a1,a2,a3,a4,a6] |
j |
-1189240134686977282489/9731978676928512 |
j-invariant |
L |
0.36724186071289 |
L(r)(E,1)/r! |
Ω |
0.022952571241189 |
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 |
4278k1 |
Quadratic twists by: -23 |