Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148a |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29804544 |
Modular degree for the optimal curve |
Δ |
-7.6103956392352E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656342276,6472297237848] |
[a1,a2,a3,a4,a6] |
j |
-8985792737264/2187 |
j-invariant |
L |
3.362742903629 |
L(r)(E,1)/r! |
Ω |
0.1050857158697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148bx1 71148b1 |
Quadratic twists by: -7 -11 |