Atkin-Lehner |
2+ 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010u |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2679040 |
Modular degree for the optimal curve |
Δ |
4.0984395484131E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 1 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1937889,-359302577] |
[a1,a2,a3,a4,a6] |
j |
1104035409161690822929/562200212402343750 |
j-invariant |
L |
3.5121347750197 |
L(r)(E,1)/r! |
Ω |
0.1350821067599 |
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 |
17670l1 |
Quadratic twists by: -3 |