Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152i |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-3377991778304 = -1 · 231 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 3 -5 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,831,88223] |
[a1,a2,a3,a4,a6] |
j |
241804367/12886016 |
j-invariant |
L |
2.4128837852355 |
L(r)(E,1)/r! |
Ω |
0.60322094630888 |
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 |
9152q1 286b1 82368ba1 100672bk1 |
Quadratic twists by: -4 8 -3 -11 |