Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600f |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-2440692000000000 = -1 · 211 · 39 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249075,-47904750] |
[a1,a2,a3,a4,a6] |
j |
-2713144086/3875 |
j-invariant |
L |
0.85475085554502 |
L(r)(E,1)/r! |
Ω |
0.1068439268829 |
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 |
55800a1 111600e1 22320a1 |
Quadratic twists by: -4 -3 5 |