Atkin-Lehner |
2- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118408c |
Isogeny class |
Conductor |
118408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
809856 |
Modular degree for the optimal curve |
Δ |
-713037910713344 = -1 · 210 · 198 · 41 |
Discriminant |
Eigenvalues |
2- 3 2 3 4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,-1303210] |
[a1,a2,a3,a4,a6] |
j |
-2052/41 |
j-invariant |
L |
11.829057658256 |
L(r)(E,1)/r! |
Ω |
0.21905662648792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118408b1 |
Quadratic twists by: -19 |