Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600c |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
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] |
Generators |
[33:864:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
4.9627578218583 |
L(r)(E,1)/r! |
Ω |
0.73412570100943 |
Real period |
R |
1.6900231850737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600gl2 4200x2 100800db2 1344j2 |
Quadratic twists by: -4 8 -3 5 |