Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688f |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
64 |
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] |
j |
130213720228/159201 |
j-invariant |
L |
1.263784408716 |
L(r)(E,1)/r! |
Ω |
0.3159461021772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22344bi2 6384i2 |
Quadratic twists by: -4 -7 |