Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064t |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
10594847952 = 24 · 34 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-549,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:46:1] |
Generators of the group modulo torsion |
j |
1145807306752/662177997 |
j-invariant |
L |
3.478103397947 |
L(r)(E,1)/r! |
Ω |
1.0780330475835 |
Real period |
R |
3.2263420919651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9516c1 114192bq1 |
Quadratic twists by: -4 -3 |