Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454u |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
4067504056 = 23 · 7 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11- 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4863,131695] |
[a1,a2,a3,a4,a6] |
j |
7177888089/2296 |
j-invariant |
L |
8.1648793622133 |
L(r)(E,1)/r! |
Ω |
1.3608132300436 |
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 |
574e1 |
Quadratic twists by: -11 |