Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280u |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-713318400000000 = -1 · 219 · 34 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21855,-330975] |
[a1,a2,a3,a4,a6] |
Generators |
[25:480:1] |
Generators of the group modulo torsion |
j |
4403686064471/2721093750 |
j-invariant |
L |
6.5073647335041 |
L(r)(E,1)/r! |
Ω |
0.29336394198831 |
Real period |
R |
1.386367707932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280dk3 1290d4 123840cd3 |
Quadratic twists by: -4 8 -3 |