Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
43452b |
Isogeny class |
Conductor |
43452 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
902016 |
Modular degree for the optimal curve |
Δ |
-4132003867232557824 = -1 · 28 · 33 · 179 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -3 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242736,108091012] |
[a1,a2,a3,a4,a6] |
Generators |
[3108:171394:1] |
Generators of the group modulo torsion |
j |
-228835055711748096/597801485421377 |
j-invariant |
L |
6.6458351681743 |
L(r)(E,1)/r! |
Ω |
0.21791975103825 |
Real period |
R |
2.5413923919688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43452a2 |
Quadratic twists by: -3 |