Atkin-Lehner |
2+ 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24072c |
Isogeny class |
Conductor |
24072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
817452767232 = 211 · 34 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3384,63180] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1054:1] |
Generators of the group modulo torsion |
j |
2093211703154/399146859 |
j-invariant |
L |
4.5624934740373 |
L(r)(E,1)/r! |
Ω |
0.84806719593438 |
Real period |
R |
2.6899363021644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48144c4 72216j4 |
Quadratic twists by: -4 -3 |