Atkin-Lehner |
2+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38896a |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19038318700544 = 211 · 114 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94424,11134516] |
[a1,a2,a3,a4,a6] |
Generators |
[196:442:1] [-246:4420:1] |
Generators of the group modulo torsion |
j |
45461686372934834/9296054053 |
j-invariant |
L |
5.2712967038927 |
L(r)(E,1)/r! |
Ω |
0.66765045696645 |
Real period |
R |
0.6579411737698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19448b2 |
Quadratic twists by: -4 |