Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bk |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-4731202710000 = -1 · 24 · 39 · 54 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3022,82081] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1411:8] |
Generators of the group modulo torsion |
j |
155113830117/240370000 |
j-invariant |
L |
9.9298827749819 |
L(r)(E,1)/r! |
Ω |
0.52505342833582 |
Real period |
R |
2.3640172216523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310d1 |
Quadratic twists by: -3 |