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 |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
56766355200000000 = 214 · 36 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136875,-15763750] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:414:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
7.5080877788874 |
L(r)(E,1)/r! |
Ω |
0.25168613227899 |
Real period |
R |
2.4859295025352 |
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 |
10350bs1 9200bg1 82800dd1 |
Quadratic twists by: -4 -3 5 |