Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bv |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.7994523796421E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-520552947,-4571353480286] |
[a1,a2,a3,a4,a6] |
j |
20897337443861342232441796/37501237510209375 |
j-invariant |
L |
2.5285605814725 |
L(r)(E,1)/r! |
Ω |
0.031607007105307 |
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 |
42840be4 28560bh4 |
Quadratic twists by: -4 -3 |