Atkin-Lehner |
2+ 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240a |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
55582031250000 = 24 · 33 · 512 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9951,-128340] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:428:1] |
Generators of the group modulo torsion |
j |
6811575123933184/3473876953125 |
j-invariant |
L |
2.4145412093895 |
L(r)(E,1)/r! |
Ω |
0.5047123779418 |
Real period |
R |
4.7839944393278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480h1 |
Quadratic twists by: -4 |