Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080ck |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1235663104000000 = -1 · 214 · 56 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24561,2240239] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:1352:1] [59:-1000:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
7.1760979261674 |
L(r)(E,1)/r! |
Ω |
0.4460004895017 |
Real period |
R |
2.0112360006004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080o4 13520bb4 320f4 |
Quadratic twists by: -4 8 13 |