Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cy |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66834432 = 212 · 32 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,-695] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] [-8:9:1] |
Generators of the group modulo torsion |
j |
131096512/16317 |
j-invariant |
L |
7.1600985611903 |
L(r)(E,1)/r! |
Ω |
1.3342833021835 |
Real period |
R |
2.6831252963573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728es2 24864l1 |
Quadratic twists by: -4 8 |