Atkin-Lehner |
2- 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178br |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
2969210637828 = 22 · 33 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184966,-30633952] |
[a1,a2,a3,a4,a6] |
j |
28993860495361/123012 |
j-invariant |
L |
12.431411970963 |
L(r)(E,1)/r! |
Ω |
0.23021132093746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834m1 |
Quadratic twists by: 17 |