Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56355s |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
4297101462443205 = 36 · 5 · 132 · 178 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-357011,81925685] |
[a1,a2,a3,a4,a6] |
j |
721403674624/616005 |
j-invariant |
L |
1.7374625919141 |
L(r)(E,1)/r! |
Ω |
0.43436564847635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56355j1 |
Quadratic twists by: 17 |