Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450cm |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-221082345000 = -1 · 23 · 33 · 54 · 11 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3438,-81108] |
[a1,a2,a3,a4,a6] |
Generators |
[606:2157:8] |
Generators of the group modulo torsion |
j |
-7190667495025/353731752 |
j-invariant |
L |
11.97760225224 |
L(r)(E,1)/r! |
Ω |
0.31084845927863 |
Real period |
R |
4.2813295485943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006377 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87450a1 |
Quadratic twists by: 5 |