Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763j |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
64041174309 = 3 · 79 · 232 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 2 0 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4484,113079] |
[a1,a2,a3,a4,a6] |
Generators |
[6:291:1] |
Generators of the group modulo torsion |
j |
160261033/1029 |
j-invariant |
L |
4.5581356329793 |
L(r)(E,1)/r! |
Ω |
1.1101183396024 |
Real period |
R |
2.0529953748891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109h1 77763h1 |
Quadratic twists by: -7 -23 |