Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bc |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
19144761127488 = 26 · 36 · 177 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13005,-530604] |
[a1,a2,a3,a4,a6] |
Generators |
[1615:64736:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
6.3593026212579 |
L(r)(E,1)/r! |
Ω |
0.44929685377015 |
Real period |
R |
3.5384749329222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232e1 9248a1 4896q1 |
Quadratic twists by: -4 -3 17 |