Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188r |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
643588971984 = 24 · 36 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-20923] |
[a1,a2,a3,a4,a6] |
j |
1048576/469 |
j-invariant |
L |
2.858952737337 |
L(r)(E,1)/r! |
Ω |
0.71473846841518 |
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 |
13132c1 16884g1 |
Quadratic twists by: -3 -7 |