Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bb |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10057678848 = 218 · 33 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13095937,-18236817503] |
[a1,a2,a3,a4,a6] |
j |
947531277805646290177/38367 |
j-invariant |
L |
2.8570504443169 |
L(r)(E,1)/r! |
Ω |
0.07936251234218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976x4 9744q3 116928dw4 |
Quadratic twists by: -4 8 -3 |