Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.602248171136E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1932576,63740160] |
[a1,a2,a3,a4,a6] |
Generators |
[-1339:15778:1] |
Generators of the group modulo torsion |
j |
4829379946327/2784375000 |
j-invariant |
L |
5.2969722755622 |
L(r)(E,1)/r! |
Ω |
0.14181943266376 |
Real period |
R |
4.668764299232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000457429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170ca2 129360hr2 |
Quadratic twists by: -4 -7 |