Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79376u |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
1190035472384 = 214 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2944,33024] |
[a1,a2,a3,a4,a6] |
j |
389017/164 |
j-invariant |
L |
1.5645408776033 |
L(r)(E,1)/r! |
Ω |
0.7822704358149 |
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 |
9922d1 656c1 |
Quadratic twists by: -4 -11 |