Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148n |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
272276327832106752 = 28 · 36 · 77 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-167988,-8432136] |
[a1,a2,a3,a4,a6] |
j |
9826000/5103 |
j-invariant |
L |
0.49921959653181 |
L(r)(E,1)/r! |
Ω |
0.24960980038992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10164p2 588b2 |
Quadratic twists by: -7 -11 |