Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040z |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-3.2510340981799E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3015500,2193277500] |
[a1,a2,a3,a4,a6] |
j |
-11845731628994222232016/1269935194601506875 |
j-invariant |
L |
3.3404953967158 |
L(r)(E,1)/r! |
Ω |
0.16702476982653 |
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 |
26520r2 |
Quadratic twists by: -4 |