Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ee |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
66539520 = 212 · 32 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-277045,-56219677] |
[a1,a2,a3,a4,a6] |
Generators |
[-8214:1:27] |
Generators of the group modulo torsion |
j |
1590409933520896/45 |
j-invariant |
L |
9.7379772815402 |
L(r)(E,1)/r! |
Ω |
0.20809509562381 |
Real period |
R |
2.5997668819525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999993985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415e2 86640cj2 |
Quadratic twists by: -4 -19 |