Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bb |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
5.6417390421099E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60957858,143169788477] |
[a1,a2,a3,a4,a6] |
Generators |
[78284400509478673246:-14099241363246729713151:2295632151472213] |
Generators of the group modulo torsion |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
4.6750518689982 |
L(r)(E,1)/r! |
Ω |
0.071650166778395 |
Real period |
R |
32.624152037619 |
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 |
55440u1 9240g1 |
Quadratic twists by: -4 -3 |