Atkin-Lehner |
2- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450n |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30906250 = -1 · 2 · 56 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 4 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13,267] |
[a1,a2,a3,a4,a6] |
j |
-15625/1978 |
j-invariant |
L |
3.4207695686002 |
L(r)(E,1)/r! |
Ω |
1.7103847845752 |
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 |
1978c1 |
Quadratic twists by: 5 |