Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bf |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
243507734249472 = 228 · 32 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-303744,-64327680] |
[a1,a2,a3,a4,a6] |
Generators |
[-319:56:1] [-318:66:1] |
Generators of the group modulo torsion |
j |
756638294163486337/59450130432 |
j-invariant |
L |
8.1494604305347 |
L(r)(E,1)/r! |
Ω |
0.20336422502263 |
Real period |
R |
5.0091531767865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854o1 |
Quadratic twists by: -4 |