Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480f |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11354204160000 = 214 · 38 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140401,-20201615] |
[a1,a2,a3,a4,a6] |
Generators |
[-472992:39389:2197] |
Generators of the group modulo torsion |
j |
18681746265374416/693005625 |
j-invariant |
L |
4.298207568141 |
L(r)(E,1)/r! |
Ω |
0.24663670703704 |
Real period |
R |
8.7136412494662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480cp2 1560h2 37440cj2 62400de2 |
Quadratic twists by: -4 8 -3 5 |