Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096v |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-127664010559488 = -1 · 227 · 3 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14248,855664] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:970:1] |
Generators of the group modulo torsion |
j |
-78100886643625/31167971328 |
j-invariant |
L |
4.7047163613201 |
L(r)(E,1)/r! |
Ω |
0.55026094216878 |
Real period |
R |
4.2749866479503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262g2 72384cx2 54288bw2 |
Quadratic twists by: -4 8 -3 |