Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317l |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
27755217 = 37 · 73 · 37 |
Discriminant |
Eigenvalues |
-1 3- -4 7- -2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,830] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:37:1] [-3:37:1] |
Generators of the group modulo torsion |
j |
2048383/111 |
j-invariant |
L |
3.7158232014646 |
L(r)(E,1)/r! |
Ω |
2.0753974955944 |
Real period |
R |
0.89520759501536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5439g1 16317k1 |
Quadratic twists by: -3 -7 |