Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192u |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 -4 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221,1357] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] [12:17:1] |
Generators of the group modulo torsion |
j |
-1171019776/17051 |
j-invariant |
L |
7.3389229835692 |
L(r)(E,1)/r! |
Ω |
2.194196392109 |
Real period |
R |
0.83617435179824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cp1 8024h1 |
Quadratic twists by: -4 8 |