Atkin-Lehner |
2- 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630g |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16198492813062500 = 22 · 56 · 41 · 436 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66351,-2409419] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1411:1] [15066:1841467:1] |
Generators of the group modulo torsion |
j |
32304761508935112049/16198492813062500 |
j-invariant |
L |
6.6219438387741 |
L(r)(E,1)/r! |
Ω |
0.31343663288156 |
Real period |
R |
3.5211497019859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88150e3 |
Quadratic twists by: 5 |