Atkin-Lehner |
2- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99238i |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100688 |
Modular degree for the optimal curve |
Δ |
-140378303756 = -1 · 22 · 296 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 2 -2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,403,17789] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
1.5444125114375 |
L(r)(E,1)/r! |
Ω |
0.77220611956892 |
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 |
118a1 |
Quadratic twists by: 29 |