Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730a |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1471360 |
Modular degree for the optimal curve |
Δ |
-4.9683305153574E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,101955,338870725] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:16235:1] |
Generators of the group modulo torsion |
j |
4340933560247250933/1840122413095321600 |
j-invariant |
L |
3.5348689156291 |
L(r)(E,1)/r! |
Ω |
0.15587207874377 |
Real period |
R |
5.6695030696384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44730ba1 |
Quadratic twists by: -3 |