Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672d |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-6158744874480384 = -1 · 28 · 35 · 173 · 674 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 -3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2559,3776283] |
[a1,a2,a3,a4,a6] |
j |
7236438588416/24057597165939 |
j-invariant |
L |
3.3345398032193 |
L(r)(E,1)/r! |
Ω |
0.33345398012006 |
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 |
27336b1 |
Quadratic twists by: -4 |