Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160j |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18717736960000 = -1 · 220 · 54 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4268,234192] |
[a1,a2,a3,a4,a6] |
j |
-32798729601/71402500 |
j-invariant |
L |
1.2219449467172 |
L(r)(E,1)/r! |
Ω |
0.61097247335858 |
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 |
4160a4 1040f4 37440eu3 20800cu4 |
Quadratic twists by: -4 8 -3 5 |