Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bv |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
6391201320 = 23 · 38 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,1041] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-60:1] |
Generators of the group modulo torsion |
j |
16022066761/8767080 |
j-invariant |
L |
8.3430746229329 |
L(r)(E,1)/r! |
Ω |
1.1643719885872 |
Real period |
R |
0.3980722228475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910i1 |
Quadratic twists by: -3 |