Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bn |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5734245335040000 = 222 · 32 · 54 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75056,7051200] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:3328:1] |
Generators of the group modulo torsion |
j |
11416311158501809/1399962240000 |
j-invariant |
L |
4.3429925594123 |
L(r)(E,1)/r! |
Ω |
0.41217597576595 |
Real period |
R |
2.6341858843825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024028 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14790y2 |
Quadratic twists by: -4 |