Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640b |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
8225000000 = 26 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-526,1776] |
[a1,a2,a3,a4,a6] |
Generators |
[2568:130104:1] |
Generators of the group modulo torsion |
j |
251956962496/128515625 |
j-invariant |
L |
8.6824430895383 |
L(r)(E,1)/r! |
Ω |
1.1564728675512 |
Real period |
R |
7.5076928591425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640h1 105280bc1 |
Quadratic twists by: -4 8 |