Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054i |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1061592228996138576 = -1 · 24 · 36 · 1112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,208844,33372640] |
[a1,a2,a3,a4,a6] |
Generators |
[1711:72652:1] |
Generators of the group modulo torsion |
j |
568630774259423/599241137616 |
j-invariant |
L |
2.5973589554582 |
L(r)(E,1)/r! |
Ω |
0.1828875556906 |
Real period |
R |
3.5504861794046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162cd2 1914l2 |
Quadratic twists by: -3 -11 |