Atkin-Lehner |
3- 5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395o |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-3893991943359375 = -1 · 38 · 512 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42773,4550172] |
[a1,a2,a3,a4,a6] |
j |
-11871232208215561/5341552734375 |
j-invariant |
L |
1.6491335655436 |
L(r)(E,1)/r! |
Ω |
0.41228354119895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465g1 |
Quadratic twists by: -3 |