Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050k |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
275684000000 = 28 · 56 · 413 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5488,-156719] |
[a1,a2,a3,a4,a6] |
j |
16974593/256 |
j-invariant |
L |
8.8830557322798 |
L(r)(E,1)/r! |
Ω |
0.55519098862113 |
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 |
3362c1 84050m1 |
Quadratic twists by: 5 41 |