Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317g |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
3173346477 = 36 · 76 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1470,21523] |
[a1,a2,a3,a4,a6] |
j |
4096000/37 |
j-invariant |
L |
1.4252093128793 |
L(r)(E,1)/r! |
Ω |
1.4252093128793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1813c1 333a1 |
Quadratic twists by: -3 -7 |