Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bu |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.5451921421949E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6734777,-6272332099] |
[a1,a2,a3,a4,a6] |
j |
46341040790466623149129/3491347245809197500 |
j-invariant |
L |
4.5198513478106 |
L(r)(E,1)/r! |
Ω |
0.094163569746074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230n2 |
Quadratic twists by: -3 |