Atkin-Lehner |
7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891c |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-493801 = -1 · 7 · 113 · 53 |
Discriminant |
Eigenvalues |
-1 -2 -3 7+ 11+ -7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
2197/371 |
j-invariant |
L |
2.6013715201535 |
L(r)(E,1)/r! |
Ω |
2.2710346154816 |
Real period |
R |
0.5727282848131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891g1 |
Quadratic twists by: -11 |