Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bn |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
728000000 = 29 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24275,-1455750] |
[a1,a2,a3,a4,a6] |
Generators |
[1458:3333:8] |
Generators of the group modulo torsion |
j |
197747699976/91 |
j-invariant |
L |
5.3492593409053 |
L(r)(E,1)/r! |
Ω |
0.38248090388839 |
Real period |
R |
6.9928449848949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800a4 2912a2 |
Quadratic twists by: -4 5 |