Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150by |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1406742187500 = -1 · 22 · 36 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 0 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-57159] |
[a1,a2,a3,a4,a6] |
j |
-1771561/123500 |
j-invariant |
L |
3.0083587727514 |
L(r)(E,1)/r! |
Ω |
0.3760448574378 |
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 |
12350t1 22230bm1 |
Quadratic twists by: -3 5 |