Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73568f |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-752787233166848 = -1 · 29 · 118 · 193 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356264,-81977128] |
[a1,a2,a3,a4,a6] |
j |
-45564783176/6859 |
j-invariant |
L |
0.78165036689844 |
L(r)(E,1)/r! |
Ω |
0.097706296145471 |
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 |
73568k1 73568t1 |
Quadratic twists by: -4 -11 |