Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176bl |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.0946308499004E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2669355,-1664135226] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032183135003767350:-4066587299332007263:1120003816625000] |
Generators of the group modulo torsion |
j |
4920750/49 |
j-invariant |
L |
6.985500518168 |
L(r)(E,1)/r! |
Ω |
0.11818411300638 |
Real period |
R |
29.553466792903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176g2 85176k2 |
Quadratic twists by: -3 13 |