Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bm |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8864640 |
Modular degree for the optimal curve |
Δ |
-8.5218131990499E+20 |
Discriminant |
Eigenvalues |
2- 2 3 7- 2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20689459,36240548209] |
[a1,a2,a3,a4,a6] |
j |
-57668985266176657/50176827904 |
j-invariant |
L |
11.319627932592 |
L(r)(E,1)/r! |
Ω |
0.15721705550811 |
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 |
85918y1 |
Quadratic twists by: -19 |