Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cp |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26278059602608128 = -1 · 227 · 39 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66420,-4173552] |
[a1,a2,a3,a4,a6] |
j |
6280426125/5092864 |
j-invariant |
L |
1.6682457330534 |
L(r)(E,1)/r! |
Ω |
0.2085306841056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928l2 29232s2 116928ct1 |
Quadratic twists by: -4 8 -3 |