Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bm |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
763776 |
Modular degree for the optimal curve |
Δ |
14657457460288500 = 22 · 33 · 53 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159878,-23919244] |
[a1,a2,a3,a4,a6] |
j |
554037434041/17968500 |
j-invariant |
L |
4.3061406822973 |
L(r)(E,1)/r! |
Ω |
0.23923003783598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55770cn1 |
Quadratic twists by: 13 |