Atkin-Lehner |
3- 5- 29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
38715b |
Isogeny class |
Conductor |
38715 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51040283203125 = 34 · 512 · 29 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16695,-757188] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1593:1] |
Generators of the group modulo torsion |
j |
514617568091408881/51040283203125 |
j-invariant |
L |
4.3082036824486 |
L(r)(E,1)/r! |
Ω |
0.42268492876722 |
Real period |
R |
0.84937254466209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116145j3 |
Quadratic twists by: -3 |