Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568c |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
332252984484864 = 210 · 36 · 174 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22584,975744] |
[a1,a2,a3,a4,a6] |
j |
1244072187067108/324465805161 |
j-invariant |
L |
1.0126546938974 |
L(r)(E,1)/r! |
Ω |
0.50632734712086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29784l2 |
Quadratic twists by: -4 |