Atkin-Lehner |
2- 3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bn |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-18564558480972 = -1 · 22 · 315 · 73 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6610,-15127] |
[a1,a2,a3,a4,a6] |
j |
43818969206375/25465786668 |
j-invariant |
L |
4.8911642977285 |
L(r)(E,1)/r! |
Ω |
0.40759702431479 |
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 |
39606g1 |
Quadratic twists by: -3 |