Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888r |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-5642011017216 = -1 · 220 · 33 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 5 -2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4368,-28224] |
[a1,a2,a3,a4,a6] |
j |
2249635843727/1377444096 |
j-invariant |
L |
1.7605745127771 |
L(r)(E,1)/r! |
Ω |
0.4401436281944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486r1 111552dd1 83664bt1 |
Quadratic twists by: -4 8 -3 |