Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800ci |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32514048 |
Modular degree for the optimal curve |
Δ |
-4.5122440421376E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226185075,-1660965324750] |
[a1,a2,a3,a4,a6] |
j |
-1015884369980369163/358196480000000 |
j-invariant |
L |
2.7541180304536 |
L(r)(E,1)/r! |
Ω |
0.019125819954442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350c1 82800cp1 16560ba1 |
Quadratic twists by: -4 -3 5 |