Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304q |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-379449307445064192 = -1 · 29 · 38 · 74 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168765,-12893834] |
[a1,a2,a3,a4,a6] |
Generators |
[110:2646:1] |
Generators of the group modulo torsion |
j |
1424207846251000/1016614442529 |
j-invariant |
L |
6.8388343091982 |
L(r)(E,1)/r! |
Ω |
0.16948441560154 |
Real period |
R |
2.5219259411425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bk2 76608cm2 12768bb2 |
Quadratic twists by: -4 8 -3 |