Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025ba |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6101321539306640625 = -1 · 314 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13495,-118843878] |
[a1,a2,a3,a4,a6] |
Generators |
[4023:253005:1] |
Generators of the group modulo torsion |
j |
23862997439/535644140625 |
j-invariant |
L |
3.6900086892354 |
L(r)(E,1)/r! |
Ω |
0.11015776458023 |
Real period |
R |
8.3743726629222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15675b4 9405h4 |
Quadratic twists by: -3 5 |