Atkin-Lehner |
3- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38493h |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-3383289026727784083 = -1 · 39 · 73 · 136 · 473 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-349410,-118959957] |
[a1,a2,a3,a4,a6] |
Generators |
[719:1228:1] |
Generators of the group modulo torsion |
j |
-6471458558046208000/4641000036663627 |
j-invariant |
L |
3.748940568498 |
L(r)(E,1)/r! |
Ω |
0.095183347505705 |
Real period |
R |
1.6411048898179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12831d2 |
Quadratic twists by: -3 |