Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2448l |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-85660416 = -1 · 28 · 39 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 3 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4104,101196] |
[a1,a2,a3,a4,a6] |
Generators |
[42:54:1] |
Generators of the group modulo torsion |
j |
-1517101056/17 |
j-invariant |
L |
2.6415006701113 |
L(r)(E,1)/r! |
Ω |
1.7379267483761 |
Real period |
R |
0.37997871207454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
612b2 9792bh2 2448j1 61200dc2 |
Quadratic twists by: -4 8 -3 5 |