Atkin-Lehner |
2- 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bj |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
144720 |
Modular degree for the optimal curve |
Δ |
-124876424250 = -1 · 2 · 36 · 53 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18032,-927619] |
[a1,a2,a3,a4,a6] |
j |
-889416742394809/171298250 |
j-invariant |
L |
1.8539497424968 |
L(r)(E,1)/r! |
Ω |
0.2059944160454 |
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 |
7130a1 |
Quadratic twists by: -3 |