Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fu |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.5427846497046E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5426427,-4859353046] |
[a1,a2,a3,a4,a6] |
j |
5918043195362419129/8515734343200 |
j-invariant |
L |
4.7484277794598 |
L(r)(E,1)/r! |
Ω |
0.098925577257535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bj2 28560dk2 |
Quadratic twists by: -4 -3 |