Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720n |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.444506621205E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2762787,-1789952834] |
[a1,a2,a3,a4,a6] |
Generators |
[32450444624:1686872118645:8998912] |
Generators of the group modulo torsion |
j |
-1562098599189850178/23071165962075 |
j-invariant |
L |
5.386564660947 |
L(r)(E,1)/r! |
Ω |
0.058499398651327 |
Real period |
R |
11.509871864351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bq2 9240bc2 |
Quadratic twists by: -4 -3 |