Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992q |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
446611447296 = 29 · 32 · 7 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1912,860] |
[a1,a2,a3,a4,a6] |
Generators |
[454333:8337390:1331] |
Generators of the group modulo torsion |
j |
1510582804424/872287983 |
j-invariant |
L |
8.0880476065674 |
L(r)(E,1)/r! |
Ω |
0.79800426012253 |
Real period |
R |
10.135343895691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40992c3 81984h4 122976j3 |
Quadratic twists by: -4 8 -3 |