Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bb |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-29535580229432112 = -1 · 24 · 37 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 11- -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148311,23524749] |
[a1,a2,a3,a4,a6] |
j |
-70945777/5808 |
j-invariant |
L |
2.9191876578112 |
L(r)(E,1)/r! |
Ω |
0.36489845755082 |
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 |
19074bf1 57222l1 |
Quadratic twists by: -3 17 |