Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090i |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32778816000000 = 212 · 3 · 56 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8004,8002] |
[a1,a2,a3,a4,a6] |
Generators |
[11645:27907:125] |
Generators of the group modulo torsion |
j |
56697897099098809/32778816000000 |
j-invariant |
L |
3.3437581951451 |
L(r)(E,1)/r! |
Ω |
0.55677617493892 |
Real period |
R |
6.0055698243768 |
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 |
48720bc3 18270ca3 30450bs3 42630o3 |
Quadratic twists by: -4 -3 5 -7 |