Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bt |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2151360000000 = 212 · 34 · 57 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-885408,-320378688] |
[a1,a2,a3,a4,a6] |
Generators |
[938178:18868850:729] |
Generators of the group modulo torsion |
j |
1199429023756249/33615 |
j-invariant |
L |
5.9788773015265 |
L(r)(E,1)/r! |
Ω |
0.15563728784025 |
Real period |
R |
9.6038638546729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225e3 19920k3 |
Quadratic twists by: -4 5 |