Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cl |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
768262229504000000 = 215 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-522760,139407600] |
[a1,a2,a3,a4,a6] |
Generators |
[2820:145200:1] |
Generators of the group modulo torsion |
j |
2177286259681/105875000 |
j-invariant |
L |
10.20281012213 |
L(r)(E,1)/r! |
Ω |
0.28042901997741 |
Real period |
R |
1.51595255176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470l2 6160k2 |
Quadratic twists by: -4 -11 |