Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600v |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-167200000000 = -1 · 211 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16208,-789088] |
[a1,a2,a3,a4,a6] |
j |
-588638690/209 |
j-invariant |
L |
2.5386741706817 |
L(r)(E,1)/r! |
Ω |
0.21155618133398 |
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 |
41800bb1 83600d1 |
Quadratic twists by: -4 5 |