Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420q |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
885380706000 = 24 · 312 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5808,-164243] |
[a1,a2,a3,a4,a6] |
Generators |
[754:2835:8] |
Generators of the group modulo torsion |
j |
1857616347136/75907125 |
j-invariant |
L |
4.6506223344574 |
L(r)(E,1)/r! |
Ω |
0.54825973630101 |
Real period |
R |
4.2412583183968 |
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 |
85680dz1 7140o1 107100s1 |
Quadratic twists by: -4 -3 5 |