Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158h |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168000 |
Modular degree for the optimal curve |
Δ |
-3.8161629015408E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 -5 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-725118779,7515325229661] |
[a1,a2,a3,a4,a6] |
j |
-355558346868836229929/3218004246528 |
j-invariant |
L |
0.68605442837952 |
L(r)(E,1)/r! |
Ω |
0.085756803833311 |
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 |
64158q1 |
Quadratic twists by: 17 |