Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792j |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1433600 |
Modular degree for the optimal curve |
Δ |
-2014635521551417344 = -1 · 214 · 310 · 195 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 3 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142011,-65156643] |
[a1,a2,a3,a4,a6] |
j |
19331549751176192/122963593844691 |
j-invariant |
L |
2.0934343371246 |
L(r)(E,1)/r! |
Ω |
0.13083965191579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bz1 13224c1 |
Quadratic twists by: -4 8 |