Atkin-Lehner |
3+ 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583n |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-691584580908207 = -1 · 33 · 72 · 19 · 317 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -3 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11721,1172088] |
[a1,a2,a3,a4,a6] |
j |
3633822702183863/14113971038943 |
j-invariant |
L |
2.5391835825362 |
L(r)(E,1)/r! |
Ω |
0.36274051193357 |
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 |
86583r1 |
Quadratic twists by: -7 |