Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488n |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18166726656 = 214 · 38 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1884,30800] |
[a1,a2,a3,a4,a6] |
j |
61918288/1521 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
7488br2 936e2 2496c2 97344by2 |
Quadratic twists by: -4 8 -3 13 |