Atkin-Lehner |
2- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360l |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1160026362843040000 = 28 · 54 · 72 · 116 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523087,136083666] |
[a1,a2,a3,a4,a6] |
j |
61830894216421225296/4531352979855625 |
j-invariant |
L |
2.1490186464479 |
L(r)(E,1)/r! |
Ω |
0.26862733077432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104720h2 |
Quadratic twists by: -4 |