Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bi |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-204337798184960 = -1 · 221 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,-736415] |
[a1,a2,a3,a4,a6] |
Generators |
[312:5203:1] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
5.4386751984555 |
L(r)(E,1)/r! |
Ω |
0.23172819640882 |
Real period |
R |
2.9337577832249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720df1 1210c1 3520m1 |
Quadratic twists by: -4 8 -11 |