Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220m |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
649297555200 = 28 · 38 · 52 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8823,316622] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:630:1] [11:470:1] |
Generators of the group modulo torsion |
j |
407009977936/3479175 |
j-invariant |
L |
9.6598760237558 |
L(r)(E,1)/r! |
Ω |
0.91488153181444 |
Real period |
R |
0.87988405127179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740m2 |
Quadratic twists by: -3 |