Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800d |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1202702400000000 = -1 · 212 · 32 · 58 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20367,1231137] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:375:1] |
Generators of the group modulo torsion |
j |
14598344384/18792225 |
j-invariant |
L |
5.6923064785878 |
L(r)(E,1)/r! |
Ω |
0.32687457544104 |
Real period |
R |
2.1767930676873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800y2 81600ie1 122400dt2 8160r4 |
Quadratic twists by: -4 8 -3 5 |