Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150m |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7.7543847870627E+34 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213376009525,-40233643262081875] |
[a1,a2,a3,a4,a6] |
j |
-14245586655234650511684983641/1028175397808386133196800 |
j-invariant |
L |
0.37775190985566 |
L(r)(E,1)/r! |
Ω |
0.0034977028699634 |
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 |
11830p3 4550p3 |
Quadratic twists by: 5 13 |