Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bh |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
6.051412808798E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55435616,-154413008780] |
[a1,a2,a3,a4,a6] |
j |
4599709511865552097278049/147739570527296000000 |
j-invariant |
L |
1.1087581901828 |
L(r)(E,1)/r! |
Ω |
0.055437909560198 |
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 |
9790i1 |
Quadratic twists by: -4 |