Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204m |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
58914917939374848 = 28 · 38 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98076,1807092] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1230:1] |
Generators of the group modulo torsion |
j |
84433792336/47678787 |
j-invariant |
L |
11.64419947603 |
L(r)(E,1)/r! |
Ω |
0.30297489198082 |
Real period |
R |
4.8041107497219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708g2 |
Quadratic twists by: 13 |