Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53816a |
Isogeny class |
Conductor |
53816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
89062769395712 = 211 · 72 · 316 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38760,2888944] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1922:1] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
2.2439955541067 |
L(r)(E,1)/r! |
Ω |
0.60584679537885 |
Real period |
R |
1.8519496770409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107632b2 56b2 |
Quadratic twists by: -4 -31 |