Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fy |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
133057080000 = 26 · 39 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2255,37847] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:160:1] [9:-140:1] |
Generators of the group modulo torsion |
j |
16462225/1728 |
j-invariant |
L |
14.746791804581 |
L(r)(E,1)/r! |
Ω |
1.0077979831735 |
Real period |
R |
0.2032317550369 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350bs1 76050bk1 76050cp1 |
Quadratic twists by: -3 5 13 |