Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032k |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-109489762304 = -1 · 212 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 0 3 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,491,15197] |
[a1,a2,a3,a4,a6] |
Generators |
[1156:11017:64] |
Generators of the group modulo torsion |
j |
262144/2197 |
j-invariant |
L |
7.783293710537 |
L(r)(E,1)/r! |
Ω |
0.77203628947918 |
Real period |
R |
5.0407563771589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6877a1 110032l1 |
Quadratic twists by: -4 -23 |