Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160n |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-846806400000 = -1 · 210 · 37 · 55 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,279,44145] |
[a1,a2,a3,a4,a6] |
j |
19314944/6834375 |
j-invariant |
L |
0.69110714772769 |
L(r)(E,1)/r! |
Ω |
0.69110744208174 |
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 |
116160ho1 7260s1 116160k1 |
Quadratic twists by: -4 8 -11 |