Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304z |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3327601471488 = 212 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17148,-859840] |
[a1,a2,a3,a4,a6] |
j |
186756901696/1114407 |
j-invariant |
L |
5.0082213212622 |
L(r)(E,1)/r! |
Ω |
0.41735177677021 |
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 |
38304l2 76608fg1 12768s2 |
Quadratic twists by: -4 8 -3 |