Atkin-Lehner |
2+ 3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302i |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-4.0312467557937E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3948079,463523492] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:109498:1] |
Generators of the group modulo torsion |
j |
6805834325532424207568375/4031246755793667750912 |
j-invariant |
L |
3.719938818387 |
L(r)(E,1)/r! |
Ω |
0.084723093266893 |
Real period |
R |
0.39202699251377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906bb1 |
Quadratic twists by: -3 |