Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170bf |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1778976962929687500 = -1 · 22 · 38 · 510 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-591602,-186380899] |
[a1,a2,a3,a4,a6] |
j |
-31411190462124794329/2440297617187500 |
j-invariant |
L |
3.4276036238942 |
L(r)(E,1)/r! |
Ω |
0.085690090597063 |
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 |
12390g2 |
Quadratic twists by: -3 |