Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bp |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-8277122604902671872 = -1 · 29 · 36 · 11 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41734400,103784720163] |
[a1,a2,a3,a4,a6] |
j |
-5470027161625/5632 |
j-invariant |
L |
3.5213959653145 |
L(r)(E,1)/r! |
Ω |
0.19563310920222 |
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 |
6358a2 57222bn2 |
Quadratic twists by: -3 17 |