Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600hd |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-86318776320000 = -1 · 227 · 3 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22433,1360863] |
[a1,a2,a3,a4,a6] |
j |
-7620530425/526848 |
j-invariant |
L |
3.5726475533006 |
L(r)(E,1)/r! |
Ω |
0.59544125888257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600ca2 8400br2 100800pd2 33600fe2 |
Quadratic twists by: -4 8 -3 5 |