Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800cj |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-6235894720000 = -1 · 29 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,121112] |
[a1,a2,a3,a4,a6] |
j |
-200/11 |
j-invariant |
L |
3.7449353948867 |
L(r)(E,1)/r! |
Ω |
0.62415588762095 |
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 |
96800cl1 96800v1 8800j1 |
Quadratic twists by: -4 5 -11 |