Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bk |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43277584656600 = 23 · 37 · 52 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57780,-5322024] |
[a1,a2,a3,a4,a6] |
Generators |
[-1074:879:8] |
Generators of the group modulo torsion |
j |
248739515569/504600 |
j-invariant |
L |
5.4491769196359 |
L(r)(E,1)/r! |
Ω |
0.3079695279185 |
Real period |
R |
4.4234708467237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630dk2 2610g2 |
Quadratic twists by: -3 -7 |