Atkin-Lehner |
2+ 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792b |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-387818496 = -1 · 210 · 33 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 3 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,864] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:26:1] |
Generators of the group modulo torsion |
j |
72765788/378729 |
j-invariant |
L |
3.599921660755 |
L(r)(E,1)/r! |
Ω |
1.2169249530048 |
Real period |
R |
0.73955293049899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25896e1 |
Quadratic twists by: -4 |