Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920j |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6497280 = -1 · 210 · 33 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,134] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] |
Generators of the group modulo torsion |
j |
-78732/235 |
j-invariant |
L |
5.8781223960311 |
L(r)(E,1)/r! |
Ω |
2.090295668935 |
Real period |
R |
0.70302523267269 |
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 |
33840f1 16920b1 84600d1 |
Quadratic twists by: -4 -3 5 |