Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800bt |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
512000 |
Modular degree for the optimal curve |
Δ |
-46855381500000000 = -1 · 28 · 311 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56625,-9031250] |
[a1,a2,a3,a4,a6] |
Generators |
[7762:247779:8] |
Generators of the group modulo torsion |
j |
55087216/128547 |
j-invariant |
L |
6.4761365117403 |
L(r)(E,1)/r! |
Ω |
0.18554252420763 |
Real period |
R |
4.3629732201694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400ce1 27600bc1 82800cd1 |
Quadratic twists by: -4 -3 5 |