Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304i |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7258212554364624384 = -1 · 29 · 316 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4999539,-4304671670] |
[a1,a2,a3,a4,a6] |
j |
-37026793537101341576/19446085590183 |
j-invariant |
L |
0.40384375852516 |
L(r)(E,1)/r! |
Ω |
0.050480469819107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304v2 76608ej2 12768x2 |
Quadratic twists by: -4 8 -3 |