Atkin-Lehner |
2- 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bi |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3809280 |
Modular degree for the optimal curve |
Δ |
2.1136102416406E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7718380,8252449247] |
[a1,a2,a3,a4,a6] |
j |
3254483714565904234569/1352710554650000 |
j-invariant |
L |
3.3890901781105 |
L(r)(E,1)/r! |
Ω |
0.21181813671922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17290a1 |
Quadratic twists by: 5 |