Atkin-Lehner |
2- 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110cc |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
19021824 |
Modular degree for the optimal curve |
Δ |
-7.6919716926894E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97145303,370968888687] |
[a1,a2,a3,a4,a6] |
j |
-139079013394701859751552041/1055140149888811008000 |
j-invariant |
L |
2.1655446771163 |
L(r)(E,1)/r! |
Ω |
0.090231028233892 |
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 |
29370g1 |
Quadratic twists by: -3 |