Atkin-Lehner |
2- 3- 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bn |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-261739440 = -1 · 24 · 32 · 5 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19511645,-33174946335] |
[a1,a2,a3,a4,a6] |
j |
-821495843987626176241657681/261739440 |
j-invariant |
L |
7.7580011317902 |
L(r)(E,1)/r! |
Ω |
0.035916671906432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630n2 |
Quadratic twists by: -3 |