Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bn |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13781733009408 = 211 · 39 · 7 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,-36234] |
[a1,a2,a3,a4,a6] |
j |
615093750/341887 |
j-invariant |
L |
1.1597210836035 |
L(r)(E,1)/r! |
Ω |
0.57986044289539 |
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 |
111384d2 |
Quadratic twists by: -3 |