Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800fp |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1716940800000000 = 218 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10486875,-13071253750] |
[a1,a2,a3,a4,a6] |
Generators |
[-2488354:11034:1331] |
Generators of the group modulo torsion |
j |
109348914285625/1472 |
j-invariant |
L |
7.5080877788874 |
L(r)(E,1)/r! |
Ω |
0.083895377426329 |
Real period |
R |
7.4577885076056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350bs2 9200bg2 82800dd2 |
Quadratic twists by: -4 -3 5 |