Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
29804785920000000 = 214 · 39 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5737408,-5291492812] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
3.5117462356897 |
L(r)(E,1)/r! |
Ω |
0.097548512633136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bu1 21840be1 |
Quadratic twists by: -4 5 |