Atkin-Lehner |
2+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43160f |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-145880800000 = -1 · 28 · 55 · 133 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -4 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265,18363] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:50:1] [-19:130:1] |
Generators of the group modulo torsion |
j |
-8069733376/569846875 |
j-invariant |
L |
6.6937896931633 |
L(r)(E,1)/r! |
Ω |
0.85075067242185 |
Real period |
R |
0.13113496723447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320j1 |
Quadratic twists by: -4 |