Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dn |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
894021562980 = 22 · 33 · 5 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17777,915581] |
[a1,a2,a3,a4,a6] |
Generators |
[1302:11513:8] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
11.33637415041 |
L(r)(E,1)/r! |
Ω |
0.88518045357521 |
Real period |
R |
3.2017127429927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470a3 630a1 |
Quadratic twists by: -3 13 |