Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064bg |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4723242209114996736 = -1 · 214 · 36 · 134 · 614 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39216,-104507244] |
[a1,a2,a3,a4,a6] |
Generators |
[15327:1897710:1] |
Generators of the group modulo torsion |
j |
1628330551599023/1153135304959716 |
j-invariant |
L |
6.3289083980243 |
L(r)(E,1)/r! |
Ω |
0.1139204375787 |
Real period |
R |
4.6296261178267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4758g4 114192cb3 |
Quadratic twists by: -4 -3 |