Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976q |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1222007980032 = 217 · 38 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4193,88575] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-336:1] |
Generators of the group modulo torsion |
j |
62214547250/9323181 |
j-invariant |
L |
6.2102882202659 |
L(r)(E,1)/r! |
Ω |
0.82800398056375 |
Real period |
R |
0.46876950217366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bk2 4872a2 116928v2 |
Quadratic twists by: -4 8 -3 |