Atkin-Lehner |
2- 3+ 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470x |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
170323560 = 23 · 38 · 5 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138455,-19887163] |
[a1,a2,a3,a4,a6] |
Generators |
[1425:51046:1] |
Generators of the group modulo torsion |
j |
293528205876316558321/170323560 |
j-invariant |
L |
7.0437232683938 |
L(r)(E,1)/r! |
Ω |
0.24749838955148 |
Real period |
R |
4.7432788560487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410h4 97350r4 |
Quadratic twists by: -3 5 |