Atkin-Lehner |
5- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775be |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-99588671875 = -1 · 58 · 72 · 112 · 43 |
Discriminant |
Eigenvalues |
0 0 5- 7- 11- 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-500,15781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:137:1] |
Generators of the group modulo torsion |
j |
-35389440/254947 |
j-invariant |
L |
4.7112213628229 |
L(r)(E,1)/r! |
Ω |
0.91459642328432 |
Real period |
R |
0.4292623176547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775f1 |
Quadratic twists by: 5 |