Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44304d |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-294887424 = -1 · 213 · 3 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,832] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] |
Generators of the group modulo torsion |
j |
-117649/71994 |
j-invariant |
L |
4.4242084062323 |
L(r)(E,1)/r! |
Ω |
1.39932911485 |
Real period |
R |
0.79041598564664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538p1 |
Quadratic twists by: -4 |