Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800cw |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1.48086144E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,482325,-132875750] |
[a1,a2,a3,a4,a6] |
Generators |
[314:7038:1] |
Generators of the group modulo torsion |
j |
265971760991/317400000 |
j-invariant |
L |
7.282296655391 |
L(r)(E,1)/r! |
Ω |
0.11911687534048 |
Real period |
R |
3.8209828749383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350bo1 27600cu1 16560ca1 |
Quadratic twists by: -4 -3 5 |