Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150d |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1273865487181625000 = -1 · 23 · 56 · 139 · 312 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57340225,-167147279875] |
[a1,a2,a3,a4,a6] |
j |
-1334387227199873180280337/81527391179624 |
j-invariant |
L |
0.49377285760655 |
L(r)(E,1)/r! |
Ω |
0.027431825422587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806e3 |
Quadratic twists by: 5 |