Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490w |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
218131597305600 = 28 · 3 · 52 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5427505,4864594127] |
[a1,a2,a3,a4,a6] |
Generators |
[1347:-524:1] |
Generators of the group modulo torsion |
j |
17681716123148093000357521/218131597305600 |
j-invariant |
L |
6.7033333046702 |
L(r)(E,1)/r! |
Ω |
0.39542354796788 |
Real period |
R |
2.119035822196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52470c4 87450y4 |
Quadratic twists by: -3 5 |