Atkin-Lehner |
2- 3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688j |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-9678569472 = -1 · 214 · 35 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11+ 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,-4752] |
[a1,a2,a3,a4,a6] |
j |
18191447/2362932 |
j-invariant |
L |
1.2232710417154 |
L(r)(E,1)/r! |
Ω |
0.61163540388751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586e1 |
Quadratic twists by: -4 |