Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bs |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-2529128448 = -1 · 212 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-2592] |
[a1,a2,a3,a4,a6] |
Generators |
[22:64:1] |
Generators of the group modulo torsion |
j |
-216000/847 |
j-invariant |
L |
5.7815288194119 |
L(r)(E,1)/r! |
Ω |
0.59524021913954 |
Real period |
R |
2.42823343984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352be1 22176h1 4928l1 |
Quadratic twists by: -4 8 -3 |