Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bl |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2875659190272 = 216 · 34 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4609,-90145] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:33:1] |
Generators of the group modulo torsion |
j |
165256339972/43879077 |
j-invariant |
L |
6.7202383716018 |
L(r)(E,1)/r! |
Ω |
0.59087929839143 |
Real period |
R |
1.421660564035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bs4 9768a3 |
Quadratic twists by: -4 8 |