Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440m |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23696640000 = 211 · 32 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1000,-10000] |
[a1,a2,a3,a4,a6] |
j |
54054018002/11570625 |
j-invariant |
L |
3.4471639518313 |
L(r)(E,1)/r! |
Ω |
0.86179098795782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880d2 67320bd2 112200br2 |
Quadratic twists by: -4 -3 5 |