Atkin-Lehner |
3- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65331n |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2105892062883 = 310 · 7 · 174 · 61 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20984,1173120] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1365:1] |
Generators of the group modulo torsion |
j |
1401656558525497/2888740827 |
j-invariant |
L |
4.9047396366392 |
L(r)(E,1)/r! |
Ω |
0.82655071006682 |
Real period |
R |
1.483496286743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21777a3 |
Quadratic twists by: -3 |