Atkin-Lehner |
2- 3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526bi |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
47292468312852 = 22 · 38 · 76 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90491,10494807] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:4332:1] |
Generators of the group modulo torsion |
j |
112410750435179113/64873070388 |
j-invariant |
L |
9.9775416001809 |
L(r)(E,1)/r! |
Ω |
0.62933746131912 |
Real period |
R |
1.3211700393242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842f2 |
Quadratic twists by: -3 |