Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ew |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-2.4778866274406E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,788395,-2379955503] |
[a1,a2,a3,a4,a6] |
j |
118945568634796775/5438434298909508 |
j-invariant |
L |
3.3315990416011 |
L(r)(E,1)/r! |
Ω |
0.069408315711124 |
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 |
37050o1 111150bm1 |
Quadratic twists by: -3 5 |