Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792a |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-29376 = -1 · 26 · 33 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,18] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
4.7719631752718 |
L(r)(E,1)/r! |
Ω |
3.5967944967448 |
Real period |
R |
0.66336333360031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9792bd1 153a1 9792e1 |
Quadratic twists by: -4 8 -3 |