Atkin-Lehner |
2+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336i |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-104984576 = -1 · 212 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44,480] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
2299968/25631 |
j-invariant |
L |
4.227219131595 |
L(r)(E,1)/r! |
Ω |
1.3885652740637 |
Real period |
R |
1.5221535528909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86336a1 43168e1 |
Quadratic twists by: -4 8 |