Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.223235633006E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24451841,-4620857460705] |
[a1,a2,a3,a4,a6] |
Generators |
[193290289466341547:-69814297330582554768:1476481337603] |
Generators of the group modulo torsion |
j |
-27851742625371848/158882936571500625 |
j-invariant |
L |
8.6600301690702 |
L(r)(E,1)/r! |
Ω |
0.018648322218967 |
Real period |
R |
29.024159758343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160l3 58080bn2 10560o4 |
Quadratic twists by: -4 8 -11 |