Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
87516b |
Isogeny class |
Conductor |
87516 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-583889948928 = -1 · 28 · 38 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,36974] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:162:1] [-25:182:1] |
Generators of the group modulo torsion |
j |
-61918288/3128697 |
j-invariant |
L |
10.110213016551 |
L(r)(E,1)/r! |
Ω |
0.76121413184439 |
Real period |
R |
1.1068078167754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29172c2 |
Quadratic twists by: -3 |