Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bb |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60944400000000 = 210 · 36 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42003,-3292002] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:144:1] |
Generators of the group modulo torsion |
j |
10978352168004/81640625 |
j-invariant |
L |
5.7827419874072 |
L(r)(E,1)/r! |
Ω |
0.33363697422317 |
Real period |
R |
2.1665546815074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360h4 |
Quadratic twists by: -3 |