Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72226k |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
76636075469204944 = 24 · 79 · 116 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8270417,9151141215] |
[a1,a2,a3,a4,a6] |
Generators |
[1641:510:1] [1665:-490:1] |
Generators of the group modulo torsion |
j |
531762488194897403137/651395893456 |
j-invariant |
L |
10.847027140747 |
L(r)(E,1)/r! |
Ω |
0.29075186481383 |
Real period |
R |
1.1658380879723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318i2 |
Quadratic twists by: -7 |