Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350db |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-2.4108217716096E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5220213,-4651535583] |
[a1,a2,a3,a4,a6] |
Generators |
[5532:-371241:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
10.016964603932 |
L(r)(E,1)/r! |
Ω |
0.049894423453746 |
Real period |
R |
1.1950191059802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670c1 2550s1 |
Quadratic twists by: 5 17 |