Atkin-Lehner |
3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975g |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54359563693359375 = 314 · 59 · 11 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138325,16260250] |
[a1,a2,a3,a4,a6] |
j |
149865137152613/27832096611 |
j-invariant |
L |
2.6922037135655 |
L(r)(E,1)/r! |
Ω |
0.33652546419569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925bn2 18975w2 |
Quadratic twists by: -3 5 |