Atkin-Lehner |
2+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43792d |
Isogeny class |
Conductor |
43792 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
526277789225216 = 28 · 7 · 176 · 233 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21839,-569970] |
[a1,a2,a3,a4,a6] |
j |
4499683752694608/2055772614161 |
j-invariant |
L |
3.6910799677777 |
L(r)(E,1)/r! |
Ω |
0.41011999642832 |
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 |
21896a1 |
Quadratic twists by: -4 |