Atkin-Lehner |
2- 3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56772a |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-54741807846144 = -1 · 28 · 39 · 19 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5616,316980] |
[a1,a2,a3,a4,a6] |
j |
3887529984/10863953 |
j-invariant |
L |
0.88375004963961 |
L(r)(E,1)/r! |
Ω |
0.44187502516473 |
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 |
56772b1 |
Quadratic twists by: -3 |