Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cp |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
257250000000000 = 210 · 3 · 512 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30133,-1869637] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:75:1] [247:2412:1] |
Generators of the group modulo torsion |
j |
189123395584/16078125 |
j-invariant |
L |
9.4451668046298 |
L(r)(E,1)/r! |
Ω |
0.36431991888168 |
Real period |
R |
12.962737301906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ff3 2100b3 100800ei3 6720o3 |
Quadratic twists by: -4 8 -3 5 |