Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bq |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1522322452268974080 = -1 · 219 · 312 · 5 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 3 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186267,-66942646] |
[a1,a2,a3,a4,a6] |
j |
-239355822010969/509822709120 |
j-invariant |
L |
3.4466593559918 |
L(r)(E,1)/r! |
Ω |
0.1077081058758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270z1 24720j1 |
Quadratic twists by: -4 -3 |