Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120q |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
11245291560000 = 26 · 312 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5637,22484] |
[a1,a2,a3,a4,a6] |
j |
424580764096/241025625 |
j-invariant |
L |
2.4684756774894 |
L(r)(E,1)/r! |
Ω |
0.61711891937336 |
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 |
33120bg1 66240bp2 11040i1 |
Quadratic twists by: -4 8 -3 |