Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ca |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
36 |
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] |
Generators |
[697:17920:1] |
Generators of the group modulo torsion |
j |
-7620530425/526848 |
j-invariant |
L |
4.5826452909323 |
L(r)(E,1)/r! |
Ω |
0.19427576419619 |
Real period |
R |
0.65523202573714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600hd2 1050j2 100800il2 33600co2 |
Quadratic twists by: -4 8 -3 5 |