Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279m |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54877948705352619 = 32 · 74 · 117 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108479,-7888506] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:1942:1] |
Generators of the group modulo torsion |
j |
79690191516937/30977171379 |
j-invariant |
L |
3.1865036517079 |
L(r)(E,1)/r! |
Ω |
0.27191204321819 |
Real period |
R |
2.9297191235132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389i4 |
Quadratic twists by: -11 |