Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760q |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
63872064000 = 29 · 36 · 53 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1000,-1000] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] |
Generators of the group modulo torsion |
j |
216216072008/124750125 |
j-invariant |
L |
5.6322084404727 |
L(r)(E,1)/r! |
Ω |
0.92592665583843 |
Real period |
R |
0.33793224003452 |
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 |
17760h2 35520bw2 53280bo2 88800bo2 |
Quadratic twists by: -4 8 -3 5 |