Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bi |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
28620428935168 = 223 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-316300,-68468976] |
[a1,a2,a3,a4,a6] |
j |
13350003080765625/109178272 |
j-invariant |
L |
1.2078867581175 |
L(r)(E,1)/r! |
Ω |
0.20131445968625 |
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 |
12992f2 3248l2 116928dz2 90944dk2 |
Quadratic twists by: -4 8 -3 -7 |