Atkin-Lehner |
3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9165c |
Isogeny class |
Conductor |
9165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1070480019375 = -1 · 33 · 54 · 13 · 474 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,721,49277] |
[a1,a2,a3,a4,a6] |
j |
41533171661591/1070480019375 |
j-invariant |
L |
3.9342515527752 |
L(r)(E,1)/r! |
Ω |
0.65570859212919 |
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 |
27495h3 45825c3 119145m3 |
Quadratic twists by: -3 5 13 |