Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050em |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-359254116000000 = -1 · 28 · 312 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13955,-1107453] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5130:1] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
12.073603186113 |
L(r)(E,1)/r! |
Ω |
0.21001562742661 |
Real period |
R |
3.5930668984057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350e1 3042e1 76050bo1 |
Quadratic twists by: -3 5 13 |