Atkin-Lehner |
5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575g |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
-14616175 = -1 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 3 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-747] |
[a1,a2,a3,a4,a6] |
j |
-180625/7 |
j-invariant |
L |
0.67996170957912 |
L(r)(E,1)/r! |
Ω |
0.67996170746228 |
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 |
50575bk1 50575n1 |
Quadratic twists by: 5 17 |