Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148ck |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
164710371157694208 = 28 · 32 · 79 · 116 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262852,47966708] |
[a1,a2,a3,a4,a6] |
Generators |
[13712632978:-36457903209:61162984] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
9.3517429245258 |
L(r)(E,1)/r! |
Ω |
0.31520389513679 |
Real period |
R |
14.834434263607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148w2 588e2 |
Quadratic twists by: -7 -11 |