Atkin-Lehner |
2- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81344j |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-853786624 = -1 · 214 · 31 · 412 |
Discriminant |
Eigenvalues |
2- -2 2 4 2 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,1615] |
[a1,a2,a3,a4,a6] |
j |
-37642192/52111 |
j-invariant |
L |
2.8511518755833 |
L(r)(E,1)/r! |
Ω |
1.4255759372805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344d1 20336a1 |
Quadratic twists by: -4 8 |