Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344bi |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19179354571776 = 210 · 32 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52152,4561920] |
[a1,a2,a3,a4,a6] |
Generators |
[5997:53900:27] |
Generators of the group modulo torsion |
j |
130213720228/159201 |
j-invariant |
L |
7.3983381414388 |
L(r)(E,1)/r! |
Ω |
0.68455198023042 |
Real period |
R |
5.4037811262692 |
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 |
44688f2 67032bg2 3192n2 |
Quadratic twists by: -4 -3 -7 |