Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900a |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-18310110750000 = -1 · 24 · 39 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,-637875] |
[a1,a2,a3,a4,a6] |
Generators |
[76413075705:36073680750:565609283] |
Generators of the group modulo torsion |
j |
-55296000/3721 |
j-invariant |
L |
6.8348225706679 |
L(r)(E,1)/r! |
Ω |
0.22059866425038 |
Real period |
R |
15.491532085728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54900b1 2196a1 |
Quadratic twists by: -3 5 |