Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16317a |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-85680354879 = -1 · 39 · 76 · 37 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,579,-13168] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
4.3703502024943 |
L(r)(E,1)/r! |
Ω |
0.54629377531179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16317b1 333b1 |
Quadratic twists by: -3 -7 |