Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054be |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-20464488 = -1 · 23 · 36 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47,-175] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
94766375/169128 |
j-invariant |
L |
9.1104666211128 |
L(r)(E,1)/r! |
Ω |
1.1323655995841 |
Real period |
R |
0.4469731636957 |
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 |
63162s1 21054m1 |
Quadratic twists by: -3 -11 |