Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054l |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
232320 |
Modular degree for the optimal curve |
Δ |
-387628717725111456 = -1 · 25 · 311 · 119 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-150043,37373510] |
[a1,a2,a3,a4,a6] |
Generators |
[10:5984:1] |
Generators of the group modulo torsion |
j |
-158428241531/164392416 |
j-invariant |
L |
5.0192744596595 |
L(r)(E,1)/r! |
Ω |
0.27332490781843 |
Real period |
R |
0.83471660485107 |
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 |
63162br1 21054bc1 |
Quadratic twists by: -3 -11 |