Atkin-Lehner |
7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44051j |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
622647097037 = 77 · 293 · 31 |
Discriminant |
Eigenvalues |
0 2 0 7- -3 1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3103,-53614] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6394:1] |
Generators of the group modulo torsion |
j |
28094464000/5292413 |
j-invariant |
L |
6.7888540243028 |
L(r)(E,1)/r! |
Ω |
0.64799358127906 |
Real period |
R |
1.746121726212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293f1 |
Quadratic twists by: -7 |