Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005p |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3826305432421875 = -1 · 36 · 58 · 132 · 433 |
Discriminant |
Eigenvalues |
1 3- 5- 4 1 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37332,-1068767] |
[a1,a2,a3,a4,a6] |
Generators |
[119:2190:1] |
Generators of the group modulo torsion |
j |
34048462198609391/22640860546875 |
j-invariant |
L |
13.067382186965 |
L(r)(E,1)/r! |
Ω |
0.25127668657054 |
Real period |
R |
1.0834157817603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109005k1 |
Quadratic twists by: 13 |