Atkin-Lehner |
2+ 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650w |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156160 |
Modular degree for the optimal curve |
Δ |
186164062500 = 22 · 3 · 59 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1450,4000] |
[a1,a2,a3,a4,a6] |
j |
172808693/95316 |
j-invariant |
L |
1.7545492970766 |
L(r)(E,1)/r! |
Ω |
0.87727464974194 |
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 |
91650dw1 |
Quadratic twists by: 5 |