Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840bg |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5645376000000 = -1 · 212 · 36 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4308,34976] |
[a1,a2,a3,a4,a6] |
Generators |
[37:495:1] |
Generators of the group modulo torsion |
j |
2961169856/1890625 |
j-invariant |
L |
4.9418208753748 |
L(r)(E,1)/r! |
Ω |
0.47331773330023 |
Real period |
R |
0.87006756203662 |
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 |
15840q2 31680l1 1760b2 79200bn2 |
Quadratic twists by: -4 8 -3 5 |