Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222ba |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4318272 |
Modular degree for the optimal curve |
Δ |
-1.4194721096718E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4361823,4533658749] |
[a1,a2,a3,a4,a6] |
j |
1804716011375/2791309312 |
j-invariant |
L |
0.51113959776768 |
L(r)(E,1)/r! |
Ω |
0.085189932977902 |
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 |
6358h1 57222d1 |
Quadratic twists by: -3 17 |