Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502f |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2664059259312 = 24 · 33 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31422,2150308] |
[a1,a2,a3,a4,a6] |
Generators |
[113:125:1] |
Generators of the group modulo torsion |
j |
71732023875/55696 |
j-invariant |
L |
6.5601840013748 |
L(r)(E,1)/r! |
Ω |
0.80290099728567 |
Real period |
R |
1.0213251636795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bh2 1062g2 |
Quadratic twists by: -3 -11 |