Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888bj |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
12793675776 = 220 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4152,101460] |
[a1,a2,a3,a4,a6] |
j |
1933038007993/3123456 |
j-invariant |
L |
2.5246094754632 |
L(r)(E,1)/r! |
Ω |
1.2623047377315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3486c1 111552ct1 83664cj1 |
Quadratic twists by: -4 8 -3 |