Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cz |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6350400000000 = 212 · 34 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5033,63063] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:375:1] |
Generators of the group modulo torsion |
j |
220348864/99225 |
j-invariant |
L |
7.6735619511974 |
L(r)(E,1)/r! |
Ω |
0.67571021725189 |
Real period |
R |
1.4195363920952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600k2 16800bi1 100800fs2 6720d2 |
Quadratic twists by: -4 8 -3 5 |