Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17248j |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-12727204818944 = -1 · 212 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11+ -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3789,192443] |
[a1,a2,a3,a4,a6] |
j |
-12487168/26411 |
j-invariant |
L |
2.525967960513 |
L(r)(E,1)/r! |
Ω |
0.63149199012826 |
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 |
17248s1 34496di1 2464a1 |
Quadratic twists by: -4 8 -7 |