Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090u |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1315687302720 = 26 · 310 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6605,196355] |
[a1,a2,a3,a4,a6] |
Generators |
[35:80:1] |
Generators of the group modulo torsion |
j |
31867374745699921/1315687302720 |
j-invariant |
L |
5.1407277966129 |
L(r)(E,1)/r! |
Ω |
0.85035816051836 |
Real period |
R |
1.0075612910916 |
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 |
48720cu1 18270n1 30450bc1 42630ct1 |
Quadratic twists by: -4 -3 5 -7 |