Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cp |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
348572160000 = 212 · 34 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2841,49959] |
[a1,a2,a3,a4,a6] |
j |
619341701824/85100625 |
j-invariant |
L |
3.6883707790072 |
L(r)(E,1)/r! |
Ω |
0.92209269475088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360bs2 19680t1 118080fc2 |
Quadratic twists by: -4 8 -3 |