Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ee |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.6103879419981E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9038367,9479995137] |
[a1,a2,a3,a4,a6] |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
2.2817446930708 |
L(r)(E,1)/r! |
Ω |
0.071304521658565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cs3 8400s4 100800lc3 6720cl4 |
Quadratic twists by: -4 8 -3 5 |