Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bg |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1058753217400320 = 29 · 3 · 5 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36560,-2176188] |
[a1,a2,a3,a4,a6] |
Generators |
[-36869:242572:343] |
Generators of the group modulo torsion |
j |
2186875592/428415 |
j-invariant |
L |
6.2738305283533 |
L(r)(E,1)/r! |
Ω |
0.34997538184624 |
Real period |
R |
8.9632454928225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120u3 6240a2 |
Quadratic twists by: -4 13 |