Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270q |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
6712690320 = 24 · 310 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1440,-20304] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:24:1] |
Generators of the group modulo torsion |
j |
453161802241/9208080 |
j-invariant |
L |
3.7056186799646 |
L(r)(E,1)/r! |
Ω |
0.77594550693158 |
Real period |
R |
1.193904290592 |
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 |
6090bc1 91350ea1 127890cq1 |
Quadratic twists by: -3 5 -7 |