Atkin-Lehner |
2+ 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622b |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-3275154432 = -1 · 210 · 33 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6920547,7009160085] |
[a1,a2,a3,a4,a6] |
j |
-1357629451200519374968875/121302016 |
j-invariant |
L |
0.72993574588697 |
L(r)(E,1)/r! |
Ω |
0.54745180941523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17622g2 |
Quadratic twists by: -3 |