Atkin-Lehner |
2- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
53720g |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38752 |
Modular degree for the optimal curve |
Δ |
-1678750000 = -1 · 24 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 6 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29,-1980] |
[a1,a2,a3,a4,a6] |
j |
162830336/104921875 |
j-invariant |
L |
1.3973876796571 |
L(r)(E,1)/r! |
Ω |
0.69869384070908 |
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 |
107440e1 |
Quadratic twists by: -4 |