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 |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-771679556032 = -1 · 26 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3838,-102096] |
[a1,a2,a3,a4,a6] |
j |
-830584000/102487 |
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 |
17248t1 34496dj1 2464b1 |
Quadratic twists by: -4 8 -7 |