Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17050o |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
128940625000 = 23 · 58 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1263,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:105:1] |
Generators of the group modulo torsion |
j |
570420625/330088 |
j-invariant |
L |
9.0563393205221 |
L(r)(E,1)/r! |
Ω |
0.88049375707675 |
Real period |
R |
3.4285078675966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17050f1 |
Quadratic twists by: 5 |