Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cn |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-5.9276628133235E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3693889,-2756348063] |
[a1,a2,a3,a4,a6] |
j |
-616966948/6561 |
j-invariant |
L |
1.9589611891409 |
L(r)(E,1)/r! |
Ω |
0.054415588587336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448bn1 8112p1 97344gb1 32448cp1 |
Quadratic twists by: -4 8 -3 13 |