Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592a |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.8211312759852E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1953633,1071542241] |
[a1,a2,a3,a4,a6] |
Generators |
[1007:11152:1] |
Generators of the group modulo torsion |
j |
-3145668549383265625/69470644988448 |
j-invariant |
L |
3.6528084901046 |
L(r)(E,1)/r! |
Ω |
0.21793034394463 |
Real period |
R |
4.1903394717657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dg2 2706g2 |
Quadratic twists by: -4 8 |