Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24472d |
Isogeny class |
Conductor |
24472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
23198672896 = 211 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -1 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2896,-60512] |
[a1,a2,a3,a4,a6] |
j |
1312016773538/11327477 |
j-invariant |
L |
1.3022477833906 |
L(r)(E,1)/r! |
Ω |
0.65112389169531 |
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 |
48944d1 |
Quadratic twists by: -4 |