Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590cd |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
-1.7959742666872E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1724863,-1843551151] |
[a1,a2,a3,a4,a6] |
Generators |
[997:28936:1] |
Generators of the group modulo torsion |
j |
778502906987384179511/2463613534550332800 |
j-invariant |
L |
10.076385958751 |
L(r)(E,1)/r! |
Ω |
0.076034778860222 |
Real period |
R |
1.1832444721097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530m4 |
Quadratic twists by: -3 |