Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277a |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
178413341067 = 33 · 136 · 372 |
Discriminant |
Eigenvalues |
1 3+ -2 4 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2313,-37114] |
[a1,a2,a3,a4,a6] |
j |
10503459/1369 |
j-invariant |
L |
2.7773090801626 |
L(r)(E,1)/r! |
Ω |
0.69432727086299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56277b2 333c2 |
Quadratic twists by: -3 13 |