Atkin-Lehner |
2- 3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
56772f |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
434160 |
Modular degree for the optimal curve |
Δ |
-2407625808048 = -1 · 24 · 36 · 192 · 833 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968196,-366684919] |
[a1,a2,a3,a4,a6] |
j |
-8605300751925035008/206415107 |
j-invariant |
L |
1.3697813299999 |
L(r)(E,1)/r! |
Ω |
0.076098962770332 |
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 |
6308a1 |
Quadratic twists by: -3 |