Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800da |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-3353400000000000 = -1 · 212 · 36 · 511 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25200,-2322000] |
[a1,a2,a3,a4,a6] |
Generators |
[56145:13303575:1] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
7.6832523066234 |
L(r)(E,1)/r! |
Ω |
0.23341681584494 |
Real period |
R |
8.2291118109787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175n1 9200z1 16560cc1 |
Quadratic twists by: -4 -3 5 |