Atkin-Lehner |
2- 3- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362k |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-882018041868 = -1 · 22 · 36 · 232 · 833 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1750,-35755] |
[a1,a2,a3,a4,a6] |
j |
813472670375/1209901292 |
j-invariant |
L |
1.8799526184768 |
L(r)(E,1)/r! |
Ω |
0.46998815462149 |
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 |
3818a1 |
Quadratic twists by: -3 |