Atkin-Lehner |
2+ 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690x |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18759168 |
Modular degree for the optimal curve |
Δ |
-1.0712106895261E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10012329,-51264944307] |
[a1,a2,a3,a4,a6] |
j |
-152265510819472588141969/1469424814164787944960 |
j-invariant |
L |
0.29602427697367 |
L(r)(E,1)/r! |
Ω |
0.037003034375407 |
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 |
37230y1 |
Quadratic twists by: -3 |