Atkin-Lehner |
2- 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118v |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
873738421248 = 210 · 3 · 74 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6881,214473] |
[a1,a2,a3,a4,a6] |
j |
36031499009927569/873738421248 |
j-invariant |
L |
8.8636866266422 |
L(r)(E,1)/r! |
Ω |
0.88636866267042 |
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 |
123354bd1 |
Quadratic twists by: -3 |