Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148x |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17740800 |
Modular degree for the optimal curve |
Δ |
-3.2632900851313E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134483554,660250776781] |
[a1,a2,a3,a4,a6] |
j |
-235165059164416/28529701497 |
j-invariant |
L |
2.0410466487011 |
L(r)(E,1)/r! |
Ω |
0.063782707193126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cq1 6468i1 |
Quadratic twists by: -7 -11 |