Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21538c |
Isogeny class |
Conductor |
21538 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
1796164439168 = 27 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 2 2 0 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-82827,-9209287] |
[a1,a2,a3,a4,a6] |
j |
35471840526793/1013888 |
j-invariant |
L |
7.8798022863997 |
L(r)(E,1)/r! |
Ω |
0.28142151022856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
178b2 |
Quadratic twists by: -11 |