Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155w |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23653235852235 = 38 · 5 · 117 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1313458,579282053] |
[a1,a2,a3,a4,a6] |
Generators |
[13167516:1130554381:1728] |
Generators of the group modulo torsion |
j |
141454150870471921/13351635 |
j-invariant |
L |
11.880161417595 |
L(r)(E,1)/r! |
Ω |
0.51810677236166 |
Real period |
R |
11.464974065555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000812 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105l3 |
Quadratic twists by: -11 |