Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cl |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13097646510080 = 212 · 5 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11401,438825] |
[a1,a2,a3,a4,a6] |
Generators |
[39:228:1] |
Generators of the group modulo torsion |
j |
40015725321664/3197667605 |
j-invariant |
L |
8.9972640171677 |
L(r)(E,1)/r! |
Ω |
0.69263377004342 |
Real period |
R |
2.1649882920915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cg2 33440n1 |
Quadratic twists by: -4 8 |