Atkin-Lehner |
3+ 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9879a |
Isogeny class |
Conductor |
9879 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
3286417293 = 36 · 373 · 89 |
Discriminant |
Eigenvalues |
2 3+ 2 2 -5 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1222,16623] |
[a1,a2,a3,a4,a6] |
Generators |
[74:617:8] |
Generators of the group modulo torsion |
j |
201972703080448/3286417293 |
j-invariant |
L |
8.3687944518544 |
L(r)(E,1)/r! |
Ω |
1.4167398739627 |
Real period |
R |
2.9535395331418 |
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 |
29637g1 |
Quadratic twists by: -3 |