Atkin-Lehner |
2- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38584f |
Isogeny class |
Conductor |
38584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
344092112 = 24 · 74 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230,-1003] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:14:1] |
Generators of the group modulo torsion |
j |
84098304000/21505757 |
j-invariant |
L |
5.9886396335131 |
L(r)(E,1)/r! |
Ω |
1.2490636895035 |
Real period |
R |
1.1986257554039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77168b1 |
Quadratic twists by: -4 |