Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502l |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2901682561783824 = 24 · 312 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122598,-16287260] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:218:1] |
Generators of the group modulo torsion |
j |
279542813954013793/3980360167056 |
j-invariant |
L |
3.2672485295571 |
L(r)(E,1)/r! |
Ω |
0.25536005486706 |
Real period |
R |
3.1986683775519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999524 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15834n2 |
Quadratic twists by: -3 |