Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2352k |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-966770294784 = -1 · 227 · 3 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11384,473712] |
[a1,a2,a3,a4,a6] |
j |
-16591834777/98304 |
j-invariant |
L |
1.7708119312283 |
L(r)(E,1)/r! |
Ω |
0.88540596561416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
294d2 9408co2 7056bn2 58800hw2 |
Quadratic twists by: -4 8 -3 5 |