Atkin-Lehner |
3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065j |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
322338063352561875 = 310 · 54 · 236 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-172359,3567838] |
[a1,a2,a3,a4,a6] |
j |
776782617019195249/442164695956875 |
j-invariant |
L |
3.1444675501452 |
L(r)(E,1)/r! |
Ω |
0.26203896303071 |
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 |
20355a2 |
Quadratic twists by: -3 |