Atkin-Lehner |
2- 7+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32452a |
Isogeny class |
Conductor |
32452 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
6360592 = 24 · 73 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,77] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
1108671232/397537 |
j-invariant |
L |
4.23277793092 |
L(r)(E,1)/r! |
Ω |
2.18138535446 |
Real period |
R |
1.940408154967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129808h1 |
Quadratic twists by: -4 |