Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
570i |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
92340 = 22 · 35 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-492480,132819117] |
[a1,a2,a3,a4,a6] |
j |
13209596798923694545921/92340 |
j-invariant |
L |
2.2660609606948 |
L(r)(E,1)/r! |
Ω |
1.1330304803474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560bc3 18240bd4 1710g3 2850l4 |
Quadratic twists by: -4 8 -3 5 |