Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112n |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
126879784031232 = 210 · 33 · 236 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13800,304704] |
[a1,a2,a3,a4,a6] |
Generators |
[0:552:1] [192:2184:1] |
Generators of the group modulo torsion |
j |
283852344016804/123906039093 |
j-invariant |
L |
6.6682455417431 |
L(r)(E,1)/r! |
Ω |
0.52825185899577 |
Real period |
R |
1.4025812852097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224d2 51336g2 |
Quadratic twists by: -4 -3 |