Atkin-Lehner |
2- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99238p |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1628640 |
Modular degree for the optimal curve |
Δ |
-891575174920827392 = -1 · 29 · 298 · 592 |
Discriminant |
Eigenvalues |
2- 1 2 -2 -5 6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34043,45367873] |
[a1,a2,a3,a4,a6] |
j |
8722127/1782272 |
j-invariant |
L |
3.8986545758955 |
L(r)(E,1)/r! |
Ω |
0.21659193280676 |
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 |
99238e1 |
Quadratic twists by: 29 |