Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090o |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
6.8128302673428E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112148803,-456967188802] |
[a1,a2,a3,a4,a6] |
Generators |
[-6026:8525:1] |
Generators of the group modulo torsion |
j |
155993906575104092056816286761/68128302673428480000000 |
j-invariant |
L |
3.5658313996459 |
L(r)(E,1)/r! |
Ω |
0.046394049122629 |
Real period |
R |
1.8299921911581 |
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 |
48720bt1 18270bo1 30450ce1 42630f1 |
Quadratic twists by: -4 -3 5 -7 |