Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dg |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.8287354112334E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184577976,-966321010476] |
[a1,a2,a3,a4,a6] |
j |
-27692833539889/35156250 |
j-invariant |
L |
1.4744295467696 |
L(r)(E,1)/r! |
Ω |
0.020478188443349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830c2 86640bl2 |
Quadratic twists by: -4 -19 |