Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410k |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9585456683400 = 23 · 36 · 52 · 132 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149382540,702782522856] |
[a1,a2,a3,a4,a6] |
j |
505703202925929435408795841/13148774600 |
j-invariant |
L |
1.5748073918846 |
L(r)(E,1)/r! |
Ω |
0.26246788024041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9490m4 |
Quadratic twists by: -3 |