Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27888bh |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
119990685696 = 212 · 3 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1912,26900] |
[a1,a2,a3,a4,a6] |
j |
188822850553/29294601 |
j-invariant |
L |
2.0067725408624 |
L(r)(E,1)/r! |
Ω |
1.003386270431 |
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 |
1743a1 111552cd1 83664bm1 |
Quadratic twists by: -4 8 -3 |