Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054f |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-2774264526 = -1 · 2 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-607,6043] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:74:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
3.7423503232483 |
L(r)(E,1)/r! |
Ω |
1.3955762486001 |
Real period |
R |
1.3407903462825 |
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 |
63162by1 174c1 |
Quadratic twists by: -3 -11 |