Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2772c |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2934184176 = -1 · 24 · 39 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,351,621] |
[a1,a2,a3,a4,a6] |
Generators |
[12:81:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
2.88297300922 |
L(r)(E,1)/r! |
Ω |
0.88038000615634 |
Real period |
R |
1.6373457990072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088ba2 44352n2 2772d1 69300c2 |
Quadratic twists by: -4 8 -3 5 |