Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520a |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11904192000 = 29 · 33 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4083,-100282] |
[a1,a2,a3,a4,a6] |
Generators |
[-2332:685:64] |
Generators of the group modulo torsion |
j |
544537918296/861125 |
j-invariant |
L |
6.5993463031306 |
L(r)(E,1)/r! |
Ω |
0.59730473599785 |
Real period |
R |
5.5242708684566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520l2 119520n2 |
Quadratic twists by: -4 -3 |