Atkin-Lehner |
2- 3+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894w |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-405834 = -1 · 2 · 3 · 112 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79,239] |
[a1,a2,a3,a4,a6] |
j |
-54569318257/405834 |
j-invariant |
L |
6.0191948983707 |
L(r)(E,1)/r! |
Ω |
3.0095974491974 |
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 |
110682o1 |
Quadratic twists by: -3 |