Atkin-Lehner |
2+ 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19458b |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67744982178756 = 22 · 38 · 232 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-914526,336850272] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:18929:1] |
Generators of the group modulo torsion |
j |
116033828504535822817/92928644964 |
j-invariant |
L |
4.404481606064 |
L(r)(E,1)/r! |
Ω |
0.51464477558802 |
Real period |
R |
2.1395736510837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6486p3 |
Quadratic twists by: -3 |