Atkin-Lehner |
3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85731b |
Isogeny class |
Conductor |
85731 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-2180297846619 = -1 · 33 · 17 · 416 |
Discriminant |
Eigenvalues |
0 3+ 3 4 3 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1121,-69933] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
3.6266035827225 |
L(r)(E,1)/r! |
Ω |
0.40295595598437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51a1 |
Quadratic twists by: 41 |