Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122t |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
36002578978384128 = 28 · 33 · 119 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1646752,813185792] |
[a1,a2,a3,a4,a6] |
j |
209447008073603/15268608 |
j-invariant |
L |
8.3660883180406 |
L(r)(E,1)/r! |
Ω |
0.34858701325171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102366e1 34122j1 |
Quadratic twists by: -3 -11 |