Atkin-Lehner |
2- 5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450l |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
176900000000 = 28 · 58 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1588,-14219] |
[a1,a2,a3,a4,a6] |
j |
28344726649/11321600 |
j-invariant |
L |
6.2626936053089 |
L(r)(E,1)/r! |
Ω |
0.78283671805802 |
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 |
17690b1 |
Quadratic twists by: 5 |