Atkin-Lehner |
2+ 3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858f |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11938883154909984 = -1 · 25 · 32 · 76 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34640,5810366] |
[a1,a2,a3,a4,a6] |
j |
-4596627802786282873/11938883154909984 |
j-invariant |
L |
0.70957991301175 |
L(r)(E,1)/r! |
Ω |
0.35478995655043 |
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 |
119574x2 |
Quadratic twists by: -3 |