Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2772a |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-125505072 = -1 · 24 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,485] |
[a1,a2,a3,a4,a6] |
j |
95551488/290521 |
j-invariant |
L |
2.6178721637648 |
L(r)(E,1)/r! |
Ω |
1.3089360818824 |
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 |
11088be1 44352f1 2772b1 69300i1 |
Quadratic twists by: -4 8 -3 5 |