Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bi |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2942837064043E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2726593,-84495553] |
[a1,a2,a3,a4,a6] |
Generators |
[-2393595821859:-226075442654656:9142439571] |
Generators of the group modulo torsion |
j |
8551551109433208625/4937300515763352 |
j-invariant |
L |
10.342096861949 |
L(r)(E,1)/r! |
Ω |
0.12825179393758 |
Real period |
R |
20.159750816023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832f4 32208l4 |
Quadratic twists by: -4 8 |