Atkin-Lehner |
3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40053g |
Isogeny class |
Conductor |
40053 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
22619397162609 = 33 · 139 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 4 4 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98362,11863295] |
[a1,a2,a3,a4,a6] |
Generators |
[30333:-995992:27] |
Generators of the group modulo torsion |
j |
9924513949/2133 |
j-invariant |
L |
9.0643454627788 |
L(r)(E,1)/r! |
Ω |
0.65872992446208 |
Real period |
R |
9.1735577067035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120159n1 40053h1 |
Quadratic twists by: -3 13 |