Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064s |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1607277674496 = -1 · 216 · 3 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,896,-60416] |
[a1,a2,a3,a4,a6] |
Generators |
[1632:65920:1] |
Generators of the group modulo torsion |
j |
19400056703/392401776 |
j-invariant |
L |
4.374850706694 |
L(r)(E,1)/r! |
Ω |
0.41023015600049 |
Real period |
R |
5.3321905309772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758h1 114192bp1 |
Quadratic twists by: -4 -3 |