Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bf |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11319268147200 = 216 · 312 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28705,-1874497] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:45:1] |
Generators of the group modulo torsion |
j |
39914580075556/172718325 |
j-invariant |
L |
5.890234708789 |
L(r)(E,1)/r! |
Ω |
0.36687825601158 |
Real period |
R |
1.3379176453117 |
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 |
12480bz4 1560i3 37440bc3 62400u3 |
Quadratic twists by: -4 8 -3 5 |