Atkin-Lehner |
2- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9790g |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
275686400 = 210 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171,-335] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] [-6:25:1] |
Generators of the group modulo torsion |
j |
553185473329/275686400 |
j-invariant |
L |
5.6536520498286 |
L(r)(E,1)/r! |
Ω |
1.3900859956622 |
Real period |
R |
0.40671239531021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bc1 88110bp1 48950c1 107690e1 |
Quadratic twists by: -4 -3 5 -11 |