Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488n |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1863254016 = 216 · 37 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29964,1996400] |
[a1,a2,a3,a4,a6] |
j |
62275269892/39 |
j-invariant |
L |
2.4476916007933 |
L(r)(E,1)/r! |
Ω |
1.2238458003967 |
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 |
7488br3 936e3 2496c3 97344by4 |
Quadratic twists by: -4 8 -3 13 |