Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bx |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
6750410485930406820 = 22 · 324 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1002272,365673791] |
[a1,a2,a3,a4,a6] |
Generators |
[513315:7771397:1331] |
Generators of the group modulo torsion |
j |
152739924334437553849/9259822340096580 |
j-invariant |
L |
8.28153522799 |
L(r)(E,1)/r! |
Ω |
0.23295271006235 |
Real period |
R |
8.8875712432937 |
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 |
6090j1 91350ba1 127890eq1 |
Quadratic twists by: -3 5 -7 |