Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304h |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
23417856 |
Modular degree for the optimal curve |
Δ |
-7.4787438743081E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 1 5 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4982027040,-135351341569548] |
[a1,a2,a3,a4,a6] |
Generators |
[400577851743804:-78470458827754734:3966822287] |
Generators of the group modulo torsion |
j |
-3338735425967648730775360534561/18258652036885118976 |
j-invariant |
L |
8.7857450128419 |
L(r)(E,1)/r! |
Ω |
0.0089849991172816 |
Real period |
R |
22.223265735784 |
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 |
5538l1 |
Quadratic twists by: -4 |