Atkin-Lehner |
5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675u |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12350667875 = 53 · 7 · 132 · 174 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-578,97] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:29:1] [31:95:1] |
Generators of the group modulo torsion |
j |
170861484149/98805343 |
j-invariant |
L |
4.043059372545 |
L(r)(E,1)/r! |
Ω |
1.0733982587588 |
Real period |
R |
0.94164941566502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38675x2 |
Quadratic twists by: 5 |