Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188i |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-8149767152233392 = -1 · 24 · 39 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206388,36349425] |
[a1,a2,a3,a4,a6] |
j |
-26240827392/219961 |
j-invariant |
L |
5.0007408865133 |
L(r)(E,1)/r! |
Ω |
0.41672837656399 |
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 |
118188l1 16884f1 |
Quadratic twists by: -3 -7 |