Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544d |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12942895122432 = -1 · 211 · 34 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,512,173204] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-438:1] |
Generators of the group modulo torsion |
j |
7233610750/6319773009 |
j-invariant |
L |
7.5660344439683 |
L(r)(E,1)/r! |
Ω |
0.55396975117727 |
Real period |
R |
0.85361547583244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19272e2 115632i2 |
Quadratic twists by: -4 -3 |