Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18392d |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1009277066074112 = 211 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102971,-12625866] |
[a1,a2,a3,a4,a6] |
Generators |
[-14049165762:-725756815:70957944] |
Generators of the group modulo torsion |
j |
33279932754/278179 |
j-invariant |
L |
4.4923716245916 |
L(r)(E,1)/r! |
Ω |
0.26664889826193 |
Real period |
R |
16.847516167791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36784h4 1672c3 |
Quadratic twists by: -4 -11 |