Atkin-Lehner |
2- 3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558t |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1533466368 = -1 · 28 · 32 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,171,-1605] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-76:1] |
Generators of the group modulo torsion |
j |
552781245743/1533466368 |
j-invariant |
L |
6.3045555920519 |
L(r)(E,1)/r! |
Ω |
0.77446044742516 |
Real period |
R |
0.50878611788798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674f1 |
Quadratic twists by: -3 |