Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352a |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
244158824448 = 224 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644,9648] |
[a1,a2,a3,a4,a6] |
Generators |
[4:56:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
7.1083774925249 |
L(r)(E,1)/r! |
Ω |
0.87540520402786 |
Real period |
R |
2.0300249129845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352df1 1386f1 44352d1 |
Quadratic twists by: -4 8 -3 |