Atkin-Lehner |
2+ 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672a |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82632068352 = 28 · 39 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4671,122094] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:378:1] |
Generators of the group modulo torsion |
j |
2236773744/16399 |
j-invariant |
L |
6.6277787468093 |
L(r)(E,1)/r! |
Ω |
1.0866693651958 |
Real period |
R |
3.0495838747244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336b2 102672c2 |
Quadratic twists by: -4 -3 |