Atkin-Lehner |
2+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050i |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3124800 |
Modular degree for the optimal curve |
Δ |
4.264455187205E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10163076,12465751298] |
[a1,a2,a3,a4,a6] |
j |
348454105/128 |
j-invariant |
L |
0.19939986252228 |
L(r)(E,1)/r! |
Ω |
0.19939986247524 |
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 |
48050q1 48050m1 |
Quadratic twists by: 5 -31 |