Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16150r |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-529203200 = -1 · 216 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-343,2541] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-22:1] |
Generators of the group modulo torsion |
j |
-178543973785/21168128 |
j-invariant |
L |
5.5363738844673 |
L(r)(E,1)/r! |
Ω |
1.599976855042 |
Real period |
R |
0.21626773330426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200bh1 16150p1 |
Quadratic twists by: -4 5 |