Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bd |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17274850560000 = 211 · 38 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9003,260998] |
[a1,a2,a3,a4,a6] |
j |
54054018002/11570625 |
j-invariant |
L |
2.6171463707739 |
L(r)(E,1)/r! |
Ω |
0.65428659271523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440m2 |
Quadratic twists by: -3 |