Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414x |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1.0340114584993E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280854,-1546117772] |
[a1,a2,a3,a4,a6] |
j |
139233463487/58763045376 |
j-invariant |
L |
1.1672218785792 |
L(r)(E,1)/r! |
Ω |
0.072951367411725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138q1 2142j1 |
Quadratic twists by: -3 17 |