Atkin-Lehner |
2+ 3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202n |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-57377281437927594 = -1 · 2 · 36 · 112 · 133 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11+ 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68157,9251847] |
[a1,a2,a3,a4,a6] |
j |
48031262075064527/78706833248186 |
j-invariant |
L |
3.8504296987259 |
L(r)(E,1)/r! |
Ω |
0.24065185645467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6578e2 |
Quadratic twists by: -3 |