Atkin-Lehner |
2- 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234n |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1555250512896 = 210 · 310 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2984,-17557] |
[a1,a2,a3,a4,a6] |
j |
4029546653497/2133402624 |
j-invariant |
L |
6.8575725706035 |
L(r)(E,1)/r! |
Ω |
0.68575725706038 |
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 |
9078d1 |
Quadratic twists by: -3 |