Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832bp |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5665342881792 = 222 · 3 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15489,727935] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1152:1] |
Generators of the group modulo torsion |
j |
1567768622113/21611568 |
j-invariant |
L |
7.4537629802645 |
L(r)(E,1)/r! |
Ω |
0.76221478653312 |
Real period |
R |
2.4447711611866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832e2 32208h2 |
Quadratic twists by: -4 8 |