Atkin-Lehner |
2+ 3+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814a |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
-194152218624 = -1 · 214 · 33 · 72 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-336,-21248] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2854:1] |
Generators of the group modulo torsion |
j |
-155634054939/7190822912 |
j-invariant |
L |
5.5751003956248 |
L(r)(E,1)/r! |
Ω |
0.44085214092963 |
Real period |
R |
3.1615477598863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814y1 |
Quadratic twists by: -3 |