Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109m |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3979699193691 = -1 · 37 · 137 · 29 |
Discriminant |
Eigenvalues |
0 3- 1 2 -4 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8112,297144] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:760:1] [-78:4897:8] |
Generators of the group modulo torsion |
j |
-16777216/1131 |
j-invariant |
L |
8.5646311169952 |
L(r)(E,1)/r! |
Ω |
0.76984829675304 |
Real period |
R |
0.69531808678398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14703d1 3393f1 |
Quadratic twists by: -3 13 |