Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39160d |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2939904 |
Modular degree for the optimal curve |
Δ |
-4.0217784881592E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12761758,35197727793] |
[a1,a2,a3,a4,a6] |
j |
-14365979557640915085010944/25136115550994873046875 |
j-invariant |
L |
0.50830188685619 |
L(r)(E,1)/r! |
Ω |
0.084716981147133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320a1 |
Quadratic twists by: -4 |