Atkin-Lehner |
3+ 5+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40515d |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12986617960546875 = 35 · 58 · 374 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112433,13388262] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:47756:1] |
Generators of the group modulo torsion |
j |
157185016243699903129/12986617960546875 |
j-invariant |
L |
3.531772950225 |
L(r)(E,1)/r! |
Ω |
0.38944366957273 |
Real period |
R |
4.5343822819053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121545o3 |
Quadratic twists by: -3 |