Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640d |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1269854924800 = -1 · 212 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-841,55305] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:240:1] |
Generators of the group modulo torsion |
j |
-16079333824/310023175 |
j-invariant |
L |
6.8510596120973 |
L(r)(E,1)/r! |
Ω |
0.72455288912095 |
Real period |
R |
2.3638921723193 |
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 |
24640q2 12320i1 123200bu2 |
Quadratic twists by: -4 8 5 |