Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510n |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
31020 = 22 · 3 · 5 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-165440,-25969483] |
[a1,a2,a3,a4,a6] |
j |
500778229561397314561/31020 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080ci4 46530i4 77550x4 |
Quadratic twists by: -4 -3 5 |