Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148n |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1176992860564356528 = -1 · 24 · 3 · 712 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-671953,-218117150] |
[a1,a2,a3,a4,a6] |
j |
-10061824000/352947 |
j-invariant |
L |
0.49921959653181 |
L(r)(E,1)/r! |
Ω |
0.08320326679664 |
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 |
10164p3 588b3 |
Quadratic twists by: -7 -11 |