Atkin-Lehner |
2- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550o |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-12907375000000000 = -1 · 29 · 512 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50537,3300781] |
[a1,a2,a3,a4,a6] |
j |
913548316680791/826072000000 |
j-invariant |
L |
4.6882538289279 |
L(r)(E,1)/r! |
Ω |
0.26045854605128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6110a2 |
Quadratic twists by: 5 |