Atkin-Lehner |
13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
65533b |
Isogeny class |
Conductor |
65533 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6512688 |
Modular degree for the optimal curve |
Δ |
-2.8769254267561E+24 |
Discriminant |
Eigenvalues |
0 -1 2 0 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-93295467,356349689484] |
[a1,a2,a3,a4,a6] |
Generators |
[15048510:574624423:3375] |
Generators of the group modulo torsion |
j |
-1958755401728/62748517 |
j-invariant |
L |
4.4750032867605 |
L(r)(E,1)/r! |
Ω |
0.080038825127922 |
Real period |
R |
3.9936004981848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65533a1 |
Quadratic twists by: -71 |