Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317i |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5397862357377 = 311 · 77 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-578381,-169159980] |
[a1,a2,a3,a4,a6] |
j |
249487788397177/62937 |
j-invariant |
L |
1.384956402939 |
L(r)(E,1)/r! |
Ω |
0.17311955036737 |
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 |
5439b1 2331a1 |
Quadratic twists by: -3 -7 |