Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975c |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27228828515625 = 32 · 58 · 114 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69588,7032156] |
[a1,a2,a3,a4,a6] |
j |
2385103010385529/1742645025 |
j-invariant |
L |
1.3220276473331 |
L(r)(E,1)/r! |
Ω |
0.66101382366657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56925u2 3795g2 |
Quadratic twists by: -3 5 |