Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054m |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24090618234051072 = -1 · 29 · 32 · 118 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54211,-8913346] |
[a1,a2,a3,a4,a6] |
Generators |
[6569080406:68903434249:18821096] |
Generators of the group modulo torsion |
j |
-82192647625/112384512 |
j-invariant |
L |
5.0176001935772 |
L(r)(E,1)/r! |
Ω |
0.14896355943509 |
Real period |
R |
16.841703476358 |
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 |
63162ci2 21054be2 |
Quadratic twists by: -3 -11 |