Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17248l |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
357140951552 = 29 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63128,-6125960] |
[a1,a2,a3,a4,a6] |
j |
461889917000/5929 |
j-invariant |
L |
1.2047690429081 |
L(r)(E,1)/r! |
Ω |
0.30119226072702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17248t2 34496dj2 2464b2 |
Quadratic twists by: -4 8 -7 |