Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bc |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-13097700 = -1 · 22 · 35 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-488,4106] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-23:1] |
Generators of the group modulo torsion |
j |
-261521362249/267300 |
j-invariant |
L |
4.7073415959066 |
L(r)(E,1)/r! |
Ω |
2.2304785857451 |
Real period |
R |
0.10552312911657 |
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 |
129360ew1 48510cq1 80850ef1 16170a1 |
Quadratic twists by: -4 -3 5 -7 |