Atkin-Lehner |
3- 5- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395t |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3951360 |
Modular degree for the optimal curve |
Δ |
-1.4292723337129E+19 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11+ 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,588363,53954140] |
[a1,a2,a3,a4,a6] |
Generators |
[1603:-71528:1] [482:75731:8] |
Generators of the group modulo torsion |
j |
30898133478111481856/19605930503605875 |
j-invariant |
L |
6.0740079696063 |
L(r)(E,1)/r! |
Ω |
0.13834122302294 |
Real period |
R |
0.26134516203233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465d1 |
Quadratic twists by: -3 |