Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976f |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-644548608 = -1 · 211 · 32 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,1440] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] [-4:44:1] |
Generators of the group modulo torsion |
j |
-162365474/314721 |
j-invariant |
L |
4.3555561365986 |
L(r)(E,1)/r! |
Ω |
1.4437810941795 |
Real period |
R |
0.37709630585263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488g2 35904cl2 26928o2 98736t2 |
Quadratic twists by: -4 8 -3 -11 |