Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064b |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-334354176 = -1 · 28 · 33 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,864] |
[a1,a2,a3,a4,a6] |
Generators |
[1:30:1] [8:40:1] |
Generators of the group modulo torsion |
j |
19600688/1306071 |
j-invariant |
L |
7.4344603172048 |
L(r)(E,1)/r! |
Ω |
1.3048853847441 |
Real period |
R |
5.6974048480608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032g1 114192h1 |
Quadratic twists by: -4 -3 |