Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780n |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11001240747129600 = 28 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7732263,-8275761362] |
[a1,a2,a3,a4,a6] |
j |
154639330142416/33275 |
j-invariant |
L |
3.2593080306288 |
L(r)(E,1)/r! |
Ω |
0.090536334184132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120ew4 2420g4 108900ct4 1980b4 |
Quadratic twists by: -4 -3 5 -11 |