Atkin-Lehner |
3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763s |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
225292347 = 36 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3- 0 7- 3 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162,373] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1:1] |
Generators of the group modulo torsion |
j |
647214625/309043 |
j-invariant |
L |
6.867169277786 |
L(r)(E,1)/r! |
Ω |
1.5758843246996 |
Real period |
R |
1.4525535853412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307g1 |
Quadratic twists by: -3 |