Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976r |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-82578051072 = -1 · 212 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1088,-1088] |
[a1,a2,a3,a4,a6] |
Generators |
[26:210:1] |
Generators of the group modulo torsion |
j |
34741712447/20160657 |
j-invariant |
L |
4.1102205755267 |
L(r)(E,1)/r! |
Ω |
0.6411094199017 |
Real period |
R |
3.205553098999 |
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 |
561d4 35904de3 26928bn3 98736bv3 |
Quadratic twists by: -4 8 -3 -11 |