Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550s |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-5.8451820544E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1901005,-1539269003] |
[a1,a2,a3,a4,a6] |
Generators |
[2489:94380:1] |
Generators of the group modulo torsion |
j |
-48624287362698592089/37409165148160000 |
j-invariant |
L |
9.4710849825215 |
L(r)(E,1)/r! |
Ω |
0.062218720512148 |
Real period |
R |
4.2284009023835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710b1 |
Quadratic twists by: 5 |