Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
5.192477876513E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79371795313,7877767739028617] |
[a1,a2,a3,a4,a6] |
Generators |
[488822:-293300161:1] |
Generators of the group modulo torsion |
j |
1997773216431678333214187041/187585177195046990066400 |
j-invariant |
L |
14.704585558486 |
L(r)(E,1)/r! |
Ω |
0.01324779773834 |
Real period |
R |
9.2497043591917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410m6 11550s5 |
Quadratic twists by: 5 -11 |