Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cb |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.069664491272E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,522078584,-5179462840000] |
[a1,a2,a3,a4,a6] |
j |
133765189027097700790060559/175918579101562500000000 |
j-invariant |
L |
3.9300888383064 |
L(r)(E,1)/r! |
Ω |
0.020469213717794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810n4 |
Quadratic twists by: -7 |