Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204f |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-137506572298849024 = -1 · 28 · 193 · 238 |
Discriminant |
Eigenvalues |
2- 0 -1 1 1 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2111768,-1181318364] |
[a1,a2,a3,a4,a6] |
j |
-27482443554816/3628411 |
j-invariant |
L |
2.2542759026136 |
L(r)(E,1)/r! |
Ω |
0.062618775071816 |
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 |
1748c1 |
Quadratic twists by: -23 |