Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880cg |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
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 |
[-502:1463:8] |
Generators of the group modulo torsion |
j |
40015725321664/3197667605 |
j-invariant |
L |
3.8742920133177 |
L(r)(E,1)/r! |
Ω |
0.46436241260232 |
Real period |
R |
4.1716253387929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cl2 33440p1 |
Quadratic twists by: -4 8 |