Atkin-Lehner |
3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8835g |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-421509015 = -1 · 35 · 5 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] [3:27:1] |
Generators of the group modulo torsion |
j |
-553185473329/421509015 |
j-invariant |
L |
3.9488643074872 |
L(r)(E,1)/r! |
Ω |
1.5420883076293 |
Real period |
R |
0.51214502930233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26505h1 44175a1 |
Quadratic twists by: -3 5 |