Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200ch |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
96040000000000 = 212 · 510 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81700,8976000] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:4200:1] |
Generators of the group modulo torsion |
j |
942344950464/1500625 |
j-invariant |
L |
4.4849463218859 |
L(r)(E,1)/r! |
Ω |
0.60000706229862 |
Real period |
R |
1.8687056385237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11200bt2 5600d1 100800mx2 2240o2 |
Quadratic twists by: -4 8 -3 5 |