Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350j |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-3005148437500 = -1 · 22 · 59 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2049,-75202] |
[a1,a2,a3,a4,a6] |
Generators |
[61:496:1] |
Generators of the group modulo torsion |
j |
487443403/1538636 |
j-invariant |
L |
2.2836339149827 |
L(r)(E,1)/r! |
Ω |
0.4096605883709 |
Real period |
R |
2.7872267674858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800dk1 84150gx1 9350bg1 102850de1 |
Quadratic twists by: -4 -3 5 -11 |