Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bt |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
99201600000000 = 212 · 32 · 58 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55408,-4978688] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:34650:1] |
Generators of the group modulo torsion |
j |
293946977449/1550025 |
j-invariant |
L |
5.9788773015265 |
L(r)(E,1)/r! |
Ω |
0.31127457568049 |
Real period |
R |
4.8019319273364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6225e2 19920k2 |
Quadratic twists by: -4 5 |