Atkin-Lehner |
2- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bl |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
134614707129548800 = 227 · 52 · 76 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213653,-33752709] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:1532:1] [-281:2188:1] |
Generators of the group modulo torsion |
j |
43143047233508807545/5384588285181952 |
j-invariant |
L |
14.099260693114 |
L(r)(E,1)/r! |
Ω |
0.22388089769203 |
Real period |
R |
1.166233577578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350z2 |
Quadratic twists by: 5 |