Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448k |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-3.9907473509818E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-670817,370492641] |
[a1,a2,a3,a4,a6] |
Generators |
[617:13824:1] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
2.7111405063846 |
L(r)(E,1)/r! |
Ω |
0.18489743961259 |
Real period |
R |
1.8328677996199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448dg1 1014b1 97344cm1 32448i1 |
Quadratic twists by: -4 8 -3 13 |