Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9144576000000 = 214 · 36 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25233,-1544337] |
[a1,a2,a3,a4,a6] |
j |
6940769488/35721 |
j-invariant |
L |
4.5469658306963 |
L(r)(E,1)/r! |
Ω |
0.3789138192243 |
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 |
33600c2 8400f2 100800na2 1344l2 |
Quadratic twists by: -4 8 -3 5 |