Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352x |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7846727253766E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83193024,-292091925708] |
[a1,a2,a3,a4,a6] |
Generators |
[868956:-809977410:1] |
Generators of the group modulo torsion |
j |
15546208997574844798862017/6798517395939072 |
j-invariant |
L |
6.1103115659301 |
L(r)(E,1)/r! |
Ω |
0.049989390075998 |
Real period |
R |
7.6395105499395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794e4 115056p4 |
Quadratic twists by: -4 -3 |