Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952t |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11289366528 = -1 · 212 · 3 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,-5313] |
[a1,a2,a3,a4,a6] |
Generators |
[327:5916:1] |
Generators of the group modulo torsion |
j |
-247673152/2756193 |
j-invariant |
L |
5.4028000829919 |
L(r)(E,1)/r! |
Ω |
0.54280721409888 |
Real period |
R |
2.4883604817049 |
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 |
17952k4 35904bu1 53856f2 |
Quadratic twists by: -4 8 -3 |