Atkin-Lehner |
3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337l |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-4366785087 = -1 · 38 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279,-2696] |
[a1,a2,a3,a4,a6] |
j |
3288008303/5990103 |
j-invariant |
L |
2.8939624503272 |
L(r)(E,1)/r! |
Ω |
0.72349061267662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779a1 |
Quadratic twists by: -3 |