Atkin-Lehner |
2+ 3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670z |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2267136 |
Modular degree for the optimal curve |
Δ |
-417227951808000 = -1 · 29 · 314 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1766664,904256320] |
[a1,a2,a3,a4,a6] |
j |
-836485082033364275329/572329152000 |
j-invariant |
L |
2.6388919838153 |
L(r)(E,1)/r! |
Ω |
0.43981541082653 |
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 |
40890v1 |
Quadratic twists by: -3 |