Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730ba |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
4414080 |
Modular degree for the optimal curve |
Δ |
-3.6219129456955E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,917593,-9150427169] |
[a1,a2,a3,a4,a6] |
j |
4340933560247250933/1840122413095321600 |
j-invariant |
L |
4.1222334642336 |
L(r)(E,1)/r! |
Ω |
0.05423991400407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44730a1 |
Quadratic twists by: -3 |