Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bh |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.8504593228738E+19 |
Discriminant |
Eigenvalues |
2- -1 0 -1 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165568,-208528384] |
[a1,a2,a3,a4,a6] |
Generators |
[1093:30250:1] [4768:327680:1] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
7.0552565393837 |
L(r)(E,1)/r! |
Ω |
0.095007844291993 |
Real period |
R |
9.2824658215861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598n3 304b3 |
Quadratic twists by: -4 -11 |