Atkin-Lehner |
13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
65533c |
Isogeny class |
Conductor |
65533 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-19981978987985027 = -1 · 133 · 717 |
Discriminant |
Eigenvalues |
0 3 2 0 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20164,-6889787] |
[a1,a2,a3,a4,a6] |
Generators |
[7439877:123683696:19683] |
Generators of the group modulo torsion |
j |
-7077888/155987 |
j-invariant |
L |
11.556991785739 |
L(r)(E,1)/r! |
Ω |
0.16626926864338 |
Real period |
R |
5.792307001118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
923a1 |
Quadratic twists by: -71 |