Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431q |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-10159099794834627 = -1 · 3 · 75 · 139 · 19 |
Discriminant |
Eigenvalues |
0 3- 4 7- 3 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2189451,-1247695042] |
[a1,a2,a3,a4,a6] |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
4.9644997537485 |
L(r)(E,1)/r! |
Ω |
0.062056246978208 |
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 |
5187f1 |
Quadratic twists by: 13 |