Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bd |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-1.2950385721918E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1471016,1863108720] |
[a1,a2,a3,a4,a6] |
j |
-85944135790429956649/316171526414008320 |
j-invariant |
L |
2.4057809007423 |
L(r)(E,1)/r! |
Ω |
0.13365449449637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610o1 |
Quadratic twists by: -4 |