Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800ft |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1839229908480000 = 212 · 310 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109875,13865650] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-2070:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
7.6197865922427 |
L(r)(E,1)/r! |
Ω |
0.47101225324706 |
Real period |
R |
0.44937416622296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175q1 27600df1 82800dh1 |
Quadratic twists by: -4 -3 5 |