Atkin-Lehner |
2- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50350p |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
10070000 = 24 · 54 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 2 6 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3238,-72269] |
[a1,a2,a3,a4,a6] |
j |
6007345507825/16112 |
j-invariant |
L |
10.12627453684 |
L(r)(E,1)/r! |
Ω |
0.63289215861317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50350e1 |
Quadratic twists by: 5 |