Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064a |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
341307648 = 28 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,-1558] |
[a1,a2,a3,a4,a6] |
Generators |
[46:288:1] |
Generators of the group modulo torsion |
j |
347482224/49379 |
j-invariant |
L |
8.1721023618884 |
L(r)(E,1)/r! |
Ω |
1.1792023982659 |
Real period |
R |
3.4650974141189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128f1 53064n1 |
Quadratic twists by: -4 -3 |