Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bb |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5094951840000 = 28 · 36 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4383,26082] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:342:1] |
Generators of the group modulo torsion |
j |
49896562896/27300625 |
j-invariant |
L |
5.7827419874072 |
L(r)(E,1)/r! |
Ω |
0.66727394844633 |
Real period |
R |
1.0832773407537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8360h2 |
Quadratic twists by: -3 |