Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440y |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-167920173020160 = -1 · 210 · 32 · 5 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11440,412368] |
[a1,a2,a3,a4,a6] |
j |
161682816335036/163984543965 |
j-invariant |
L |
3.0240492900953 |
L(r)(E,1)/r! |
Ω |
0.3780061612619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880e3 67320h3 112200e3 |
Quadratic twists by: -4 -3 5 |