Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bd |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-559474642944 = -1 · 212 · 33 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,36640] |
[a1,a2,a3,a4,a6] |
Generators |
[60:460:1] |
Generators of the group modulo torsion |
j |
-320013504/5058907 |
j-invariant |
L |
5.7759311834235 |
L(r)(E,1)/r! |
Ω |
0.77868874138187 |
Real period |
R |
3.7087547785404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688g2 86688d2 |
Quadratic twists by: -4 -3 |