Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834be |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-139744382976 = -1 · 212 · 34 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2112085,-1181625631] |
[a1,a2,a3,a4,a6] |
j |
-8611375583510451760921/1154912256 |
j-invariant |
L |
6.0112244326686 |
L(r)(E,1)/r! |
Ω |
0.062616921174879 |
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 |
128502x1 42834o1 |
Quadratic twists by: -3 -11 |