Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9996d |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18499477248 = 28 · 36 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10852,438712] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:918:1] |
Generators of the group modulo torsion |
j |
1609752103216/210681 |
j-invariant |
L |
4.1418319697586 |
L(r)(E,1)/r! |
Ω |
1.1798900455659 |
Real period |
R |
1.7551770969354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984de2 29988bm2 9996p2 |
Quadratic twists by: -4 -3 -7 |