Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cl |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15496832671755435 = -1 · 32 · 5 · 77 · 114 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,61445,-1221340] |
[a1,a2,a3,a4,a6] |
Generators |
[32:866:1] |
Generators of the group modulo torsion |
j |
218069373547871/131720904315 |
j-invariant |
L |
5.5796565282266 |
L(r)(E,1)/r! |
Ω |
0.22842316368336 |
Real period |
R |
3.0533552328329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015a4 |
Quadratic twists by: -7 |