Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054r |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-351992291153412096 = -1 · 221 · 33 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,112890,24538072] |
[a1,a2,a3,a4,a6] |
j |
89813071796687/198690471936 |
j-invariant |
L |
1.2623257852526 |
L(r)(E,1)/r! |
Ω |
0.21038763087543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162ce1 1914n1 |
Quadratic twists by: -3 -11 |