Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ct |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-1.1029455557326E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8673089,-11051548207] |
[a1,a2,a3,a4,a6] |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
3.6640349251874 |
L(r)(E,1)/r! |
Ω |
0.043619463394851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138m1 2142q1 |
Quadratic twists by: -3 17 |