Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598bc |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-354753984 = -1 · 26 · 3 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 3 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-409,-3481] |
[a1,a2,a3,a4,a6] |
Generators |
[27:64:1] |
Generators of the group modulo torsion |
j |
-8998373257/421824 |
j-invariant |
L |
9.8555074558631 |
L(r)(E,1)/r! |
Ω |
0.52935422843319 |
Real period |
R |
1.0343323290746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598p2 |
Quadratic twists by: 29 |