Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642v |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2508867193536 = -1 · 26 · 38 · 113 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2511,59049] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-417:1] [-12:171:1] |
Generators of the group modulo torsion |
j |
1315451937493/1884949056 |
j-invariant |
L |
13.311726086996 |
L(r)(E,1)/r! |
Ω |
0.55076687529066 |
Real period |
R |
0.50352996749499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48642k2 |
Quadratic twists by: -11 |