Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800co |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
113177250000 = 24 · 39 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,151875] |
[a1,a2,a3,a4,a6] |
Generators |
[975:1700:27] |
Generators of the group modulo torsion |
j |
3538944/23 |
j-invariant |
L |
8.4946239376334 |
L(r)(E,1)/r! |
Ω |
1.0586657432705 |
Real period |
R |
4.0119480545837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20700b1 82800ch1 3312j1 |
Quadratic twists by: -4 -3 5 |