Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52152c |
Isogeny class |
Conductor |
52152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
460079102976 = 210 · 3 · 414 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3952,-88580] |
[a1,a2,a3,a4,a6] |
j |
6667828959172/449295999 |
j-invariant |
L |
2.4187004326133 |
L(r)(E,1)/r! |
Ω |
0.60467510795342 |
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 |
104304c4 |
Quadratic twists by: -4 |