Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160dw |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-50300300160000 = -1 · 210 · 310 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89085,10210275] |
[a1,a2,a3,a4,a6] |
Generators |
[195:540:1] |
Generators of the group modulo torsion |
j |
-57367289145344/36905625 |
j-invariant |
L |
9.1156629616926 |
L(r)(E,1)/r! |
Ω |
0.62702167115064 |
Real period |
R |
0.36345087426447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160gd1 14520a1 116160dv1 |
Quadratic twists by: -4 8 -11 |