Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27888bd |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
115143081984 = 220 · 33 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1344,-9216] |
[a1,a2,a3,a4,a6] |
j |
65597103937/28111104 |
j-invariant |
L |
1.6391203004945 |
L(r)(E,1)/r! |
Ω |
0.81956015024739 |
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 |
3486j1 111552dj1 83664by1 |
Quadratic twists by: -4 8 -3 |