Atkin-Lehner |
2+ 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774u |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
16244531322421248 = 218 · 311 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148617,21219597] |
[a1,a2,a3,a4,a6] |
j |
497970136369140625/22283307712512 |
j-invariant |
L |
1.5491770983543 |
L(r)(E,1)/r! |
Ω |
0.38729427159627 |
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 |
27258bn1 |
Quadratic twists by: -3 |