Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38532g |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
17115169653504 = 28 · 36 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15604,728584] |
[a1,a2,a3,a4,a6] |
Generators |
[34:486:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
4.0498108268643 |
L(r)(E,1)/r! |
Ω |
0.68682644427176 |
Real period |
R |
1.9654702487738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115596w2 228a2 |
Quadratic twists by: -3 13 |