Atkin-Lehner |
3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
128865i |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4126240160955 = 38 · 5 · 116 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-229297,-42357146] |
[a1,a2,a3,a4,a6] |
Generators |
[45152420:-3402483379:8000] |
Generators of the group modulo torsion |
j |
752602538173681/2329155 |
j-invariant |
L |
5.4457964875465 |
L(r)(E,1)/r! |
Ω |
0.21817239318201 |
Real period |
R |
12.480489342938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1065b4 |
Quadratic twists by: -11 |