Atkin-Lehner |
2+ 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984j |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
17911425024 = 211 · 38 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -3 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1832,28884] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:162:1] [10:-108:1] |
Generators of the group modulo torsion |
j |
332205796946/8745813 |
j-invariant |
L |
9.3877348563853 |
L(r)(E,1)/r! |
Ω |
1.2243028637782 |
Real period |
R |
0.2396193972438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31992e1 |
Quadratic twists by: -4 |