Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975i |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
122826533203125 = 311 · 510 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -1 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59180,5530322] |
[a1,a2,a3,a4,a6] |
j |
3219690625/17253 |
j-invariant |
L |
1.1825186425387 |
L(r)(E,1)/r! |
Ω |
0.59125932126936 |
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 |
5325m1 15975q1 |
Quadratic twists by: -3 5 |