Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bw |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
267337728 = 214 · 32 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-817,8687] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:72:1] |
Generators of the group modulo torsion |
j |
3685542352/16317 |
j-invariant |
L |
9.2037773464596 |
L(r)(E,1)/r! |
Ω |
1.7518704033287 |
Real period |
R |
2.6268430955267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dv2 6216l2 |
Quadratic twists by: -4 8 |