Atkin-Lehner |
3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475c |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-30322240394671875 = -1 · 3 · 56 · 139 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-308233,-66294882] |
[a1,a2,a3,a4,a6] |
j |
-207272886199386112/1940623385259 |
j-invariant |
L |
0.91127536700813 |
L(r)(E,1)/r! |
Ω |
0.10125281883209 |
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 |
2379a3 |
Quadratic twists by: 5 |