Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730b |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
727158470601605120 = 221 · 5 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 3 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-863030,-305638540] |
[a1,a2,a3,a4,a6] |
Generators |
[2500916873448338:-185542526886289127:446995222136] |
Generators of the group modulo torsion |
j |
420644261295449288721/4302712843796480 |
j-invariant |
L |
4.1698676936856 |
L(r)(E,1)/r! |
Ω |
0.15673332287657 |
Real period |
R |
26.604857328072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730y2 |
Quadratic twists by: 13 |