Atkin-Lehner |
2+ 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
82150d |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-134972450 = -1 · 2 · 52 · 312 · 532 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-232,-1414] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:5483:27] |
Generators of the group modulo torsion |
j |
-55373274945/5398898 |
j-invariant |
L |
9.9396447880686 |
L(r)(E,1)/r! |
Ω |
0.60815307768656 |
Real period |
R |
4.0859962552216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82150n1 |
Quadratic twists by: 5 |