Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17622g |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2387587580928 = -1 · 210 · 39 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62284925,-189185037371] |
[a1,a2,a3,a4,a6] |
Generators |
[44253341:7794942904:1331] |
Generators of the group modulo torsion |
j |
-1357629451200519374968875/121302016 |
j-invariant |
L |
6.424807955526 |
L(r)(E,1)/r! |
Ω |
0.02687038091858 |
Real period |
R |
11.955185851279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17622b1 |
Quadratic twists by: -3 |