Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648ba |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1199890796544 = -1 · 212 · 310 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2608,13140] |
[a1,a2,a3,a4,a6] |
Generators |
[28:330:1] |
Generators of the group modulo torsion |
j |
478762350767/292942089 |
j-invariant |
L |
7.2624779035326 |
L(r)(E,1)/r! |
Ω |
0.53296931147286 |
Real period |
R |
1.3626446677507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353b2 86592ci2 64944bt2 |
Quadratic twists by: -4 8 -3 |