Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728do |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1132272589012992 = 216 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31969,-1479167] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:343:1] |
Generators of the group modulo torsion |
j |
55137176303332/17277108597 |
j-invariant |
L |
4.5628130927697 |
L(r)(E,1)/r! |
Ω |
0.3658219800567 |
Real period |
R |
1.5590961388138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bl3 12432t4 |
Quadratic twists by: -4 8 |