Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bs |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-3888719178368691366 = -1 · 2 · 39 · 72 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140942,97073587] |
[a1,a2,a3,a4,a6] |
j |
-7803/98 |
j-invariant |
L |
3.367605086016 |
L(r)(E,1)/r! |
Ω |
0.21047531787777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414b1 36414cc1 |
Quadratic twists by: -3 17 |