Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654z |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-388799208512064 = -1 · 26 · 314 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8793,-998163] |
[a1,a2,a3,a4,a6] |
j |
-194975262337/1008189504 |
j-invariant |
L |
3.5548401139879 |
L(r)(E,1)/r! |
Ω |
0.22217750684378 |
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 |
22218bi1 66654p1 |
Quadratic twists by: -3 -23 |