Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bs |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-1.3573101242485E+24 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83626839,-299620345802] |
[a1,a2,a3,a4,a6] |
Generators |
[109622:36109394:1] |
Generators of the group modulo torsion |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
6.8244921708895 |
L(r)(E,1)/r! |
Ω |
0.024931214129168 |
Real period |
R |
4.2770757018767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8085g6 121275en5 3465i6 |
Quadratic twists by: -3 5 -7 |