Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bs |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-38821250784624 = -1 · 24 · 3 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3106,293313] |
[a1,a2,a3,a4,a6] |
j |
256/3 |
j-invariant |
L |
5.7321388623112 |
L(r)(E,1)/r! |
Ω |
0.4776782403577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148m1 71148bt1 |
Quadratic twists by: -7 -11 |