Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510n |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10869489427500 = -1 · 22 · 34 · 54 · 11 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10120,-426955] |
[a1,a2,a3,a4,a6] |
j |
-114621986736766081/10869489427500 |
j-invariant |
L |
1.8937794415825 |
L(r)(E,1)/r! |
Ω |
0.23672243019781 |
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 |
124080ci3 46530i3 77550x3 |
Quadratic twists by: -4 -3 5 |