Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976x |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1292623390989139968 = 214 · 320 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7743032,-8295458988] |
[a1,a2,a3,a4,a6] |
Generators |
[4012:158850:1] |
Generators of the group modulo torsion |
j |
12534210458299016895673/315581882565708 |
j-invariant |
L |
5.3970269625595 |
L(r)(E,1)/r! |
Ω |
0.090504972877005 |
Real period |
R |
5.9632380310129 |
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 |
1122b3 35904ca4 26928by4 98736dj4 |
Quadratic twists by: -4 8 -3 -11 |