Atkin-Lehner |
2- 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810em |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
-1223655437981592000 = -1 · 26 · 37 · 53 · 76 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,254893,-19534669] |
[a1,a2,a3,a4,a6] |
j |
2512300053560659991/1678539695448000 |
j-invariant |
L |
5.5894294791582 |
L(r)(E,1)/r! |
Ω |
0.15526193472849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270bi3 |
Quadratic twists by: -3 |