Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600by |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-528384000000 = -1 · 218 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,32512] |
[a1,a2,a3,a4,a6] |
j |
1685159/8256 |
j-invariant |
L |
1.3309712772849 |
L(r)(E,1)/r! |
Ω |
0.66548563777045 |
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 |
6450bi1 2064l1 |
Quadratic twists by: -4 5 |