Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480df |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-5658206400000000 = -1 · 212 · 38 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29120,3082100] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:840:1] |
Generators of the group modulo torsion |
j |
666688497209279/1381398046875 |
j-invariant |
L |
6.5606418852396 |
L(r)(E,1)/r! |
Ω |
0.29581467864776 |
Real period |
R |
0.6930692548826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1155e6 73920ew5 55440dr5 92400dk5 |
Quadratic twists by: -4 8 -3 5 |