Atkin-Lehner |
2+ 3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16074b |
Isogeny class |
Conductor |
16074 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-1002597875712 = -1 · 215 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 6 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44091,-3552795] |
[a1,a2,a3,a4,a6] |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
2.9651820289735 |
L(r)(E,1)/r! |
Ω |
0.16473233494297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592o1 1786f1 |
Quadratic twists by: -4 -3 |