Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13448a |
Isogeny class |
Conductor |
13448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16353126869239808 = -1 · 211 · 418 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48749,-4548786] |
[a1,a2,a3,a4,a6] |
Generators |
[265159071554:-3546997230678:2400721219] |
Generators of the group modulo torsion |
j |
1317006/1681 |
j-invariant |
L |
4.1928484145865 |
L(r)(E,1)/r! |
Ω |
0.20914734484658 |
Real period |
R |
20.047342306268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26896a2 107584a2 121032m2 328a2 |
Quadratic twists by: -4 8 -3 41 |