Atkin-Lehner |
2+ 3- 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682u |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
254026474251264 = 210 · 38 · 112 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45693,3691845] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:2037:1] |
Generators of the group modulo torsion |
j |
14472732952369873/348458812416 |
j-invariant |
L |
3.8098993007829 |
L(r)(E,1)/r! |
Ω |
0.55253204402093 |
Real period |
R |
1.7238363619012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999642705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36894ba2 |
Quadratic twists by: -3 |