Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600f |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
370150560000000 = 211 · 34 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18008,-85488] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:900:1] |
Generators of the group modulo torsion |
j |
20183398562/11567205 |
j-invariant |
L |
4.2994478324959 |
L(r)(E,1)/r! |
Ω |
0.44710483560256 |
Real period |
R |
1.2020245281796 |
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 |
7800g3 62400hm3 46800x3 3120k4 |
Quadratic twists by: -4 8 -3 5 |