Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816bm |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8998912 = 212 · 133 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.9218801371447 |
L(r)(E,1)/r! |
Ω |
1.952861214306 |
Real period |
R |
1.4962047050451 |
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 |
10816bm2 5408e1 97344gp2 10816bl2 |
Quadratic twists by: -4 8 -3 13 |