Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320m |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18812312259840000 = 211 · 310 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-537843,151677358] |
[a1,a2,a3,a4,a6] |
Generators |
[566:5346:1] |
Generators of the group modulo torsion |
j |
11524783974490082/12600410625 |
j-invariant |
L |
5.9229441628658 |
L(r)(E,1)/r! |
Ω |
0.38513363205821 |
Real period |
R |
1.922366572876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440x4 |
Quadratic twists by: -3 |