Atkin-Lehner |
2- 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302p |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1906747128 = -1 · 23 · 35 · 11 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-735,-8259] |
[a1,a2,a3,a4,a6] |
Generators |
[57:344:1] |
Generators of the group modulo torsion |
j |
-43915988093041/1906747128 |
j-invariant |
L |
5.2555101529163 |
L(r)(E,1)/r! |
Ω |
0.45729151449567 |
Real period |
R |
3.8308970582383 |
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 |
48906j1 |
Quadratic twists by: -3 |