Atkin-Lehner |
2- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352i |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
162720 |
Modular degree for the optimal curve |
Δ |
-8028592 = -1 · 24 · 113 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 2 4 1 11+ 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63921,-6199072] |
[a1,a2,a3,a4,a6] |
j |
-1805266011072446464/501787 |
j-invariant |
L |
7.3562110934426 |
L(r)(E,1)/r! |
Ω |
0.15012675682409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16588c1 |
Quadratic twists by: -4 |