Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224y |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
138720 |
Modular degree for the optimal curve |
Δ |
-3538202624 = -1 · 212 · 114 · 59 |
Discriminant |
Eigenvalues |
2- -3 3 -1 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1936,-32912] |
[a1,a2,a3,a4,a6] |
j |
-13381632/59 |
j-invariant |
L |
1.0793190877294 |
L(r)(E,1)/r! |
Ω |
0.35977306914905 |
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 |
7139b1 114224x1 |
Quadratic twists by: -4 -11 |