Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ee |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.1897918403379E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307875,-528902750] |
[a1,a2,a3,a4,a6] |
Generators |
[112867335:901328450:117649] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
4.1733012804231 |
L(r)(E,1)/r! |
Ω |
0.081359857115217 |
Real period |
R |
12.82358840209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550i3 7600l3 2736m3 |
Quadratic twists by: -4 -3 5 |