Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976m |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6334889368485888 = 223 · 312 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309953,-66411873] |
[a1,a2,a3,a4,a6] |
j |
12562403073144625/24165685152 |
j-invariant |
L |
2.42832555318 |
L(r)(E,1)/r! |
Ω |
0.20236046276053 |
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 |
38976bg2 1218f2 116928bh2 |
Quadratic twists by: -4 8 -3 |