Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638q |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70413806736 = 24 · 312 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1229,-10267] |
[a1,a2,a3,a4,a6] |
j |
281397674377/96589584 |
j-invariant |
L |
3.315613366674 |
L(r)(E,1)/r! |
Ω |
0.82890334166851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13104ck2 52416bq2 546c2 40950bl2 |
Quadratic twists by: -4 8 -3 5 |