Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109c |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-638717154543 = -1 · 33 · 138 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 -3 -3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2060,53174] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:274:1] |
Generators of the group modulo torsion |
j |
-43875/29 |
j-invariant |
L |
1.9279911165336 |
L(r)(E,1)/r! |
Ω |
0.84163551005129 |
Real period |
R |
0.38179455229515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109g1 44109a1 |
Quadratic twists by: -3 13 |