Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850br |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11591213906250000 = 24 · 36 · 510 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-247938,47132031] |
[a1,a2,a3,a4,a6] |
j |
107878047248536921/741837690000 |
j-invariant |
L |
3.2381896808622 |
L(r)(E,1)/r! |
Ω |
0.40477371012767 |
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 |
9570l2 |
Quadratic twists by: 5 |