Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272w |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11177204656128 = 211 · 3 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43136,3458988] |
[a1,a2,a3,a4,a6] |
j |
36841321442/46389 |
j-invariant |
L |
2.8650589324005 |
L(r)(E,1)/r! |
Ω |
0.71626473345091 |
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 |
110544bj2 7896m2 |
Quadratic twists by: -4 -7 |