Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470b |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
357790352480510400 = 26 · 39 · 52 · 118 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447270,111590900] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10650:1] |
Generators of the group modulo torsion |
j |
502738649565641523/18177633108800 |
j-invariant |
L |
4.4830396532481 |
L(r)(E,1)/r! |
Ω |
0.30036254210155 |
Real period |
R |
0.93283928272086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470v2 |
Quadratic twists by: -3 |