Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dq |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
29904076800 = 218 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-890,-5703] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:33:1] [-15:71:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
13.883837117229 |
L(r)(E,1)/r! |
Ω |
0.90299963864077 |
Real period |
R |
0.42709002932103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050m2 76050u1 76050j1 |
Quadratic twists by: -3 5 13 |