Atkin-Lehner |
2- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454m |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
816364334055424 = 215 · 73 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-282477,57746129] |
[a1,a2,a3,a4,a6] |
Generators |
[274:831:1] |
Generators of the group modulo torsion |
j |
1407074115849193/460816384 |
j-invariant |
L |
7.9494246892394 |
L(r)(E,1)/r! |
Ω |
0.49213799439292 |
Real period |
R |
0.53842789211444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574f2 |
Quadratic twists by: -11 |