Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064j |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-502046214912 = -1 · 28 · 33 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,807,-32661] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
5.5278771589129 |
L(r)(E,1)/r! |
Ω |
0.46065638152792 |
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 |
984d1 |
Quadratic twists by: -11 |