Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370y |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
2.9981481236875E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38589053,39670192581] |
[a1,a2,a3,a4,a6] |
Generators |
[-6049:230472:1] |
Generators of the group modulo torsion |
j |
8717431345817268790652041/4112686040723619840000 |
j-invariant |
L |
6.6884126779227 |
L(r)(E,1)/r! |
Ω |
0.071535320310866 |
Real period |
R |
1.1687255765786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997585 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23790e2 |
Quadratic twists by: -3 |