Atkin-Lehner |
3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975a |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1405859116140703125 = -1 · 312 · 57 · 112 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120188,59207906] |
[a1,a2,a3,a4,a6] |
Generators |
[170:6527:1] |
Generators of the group modulo torsion |
j |
-12288170734201081/89974983433005 |
j-invariant |
L |
2.3050413408115 |
L(r)(E,1)/r! |
Ω |
0.23187259970031 |
Real period |
R |
1.2426227504838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925y3 3795j4 |
Quadratic twists by: -3 5 |