Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440g |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
4682496 |
Modular degree for the optimal curve |
Δ |
-2.3285582480469E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -6 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2861395,1876465618] |
[a1,a2,a3,a4,a6] |
Generators |
[25887:105625:27] [1161:10985:1] |
Generators of the group modulo torsion |
j |
-33548816887343104/301513671875 |
j-invariant |
L |
15.300904697524 |
L(r)(E,1)/r! |
Ω |
0.21467702818456 |
Real period |
R |
0.68532755884005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880j1 |
Quadratic twists by: 13 |