Atkin-Lehner |
3+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16863c |
Isogeny class |
Conductor |
16863 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7247912911144104969 = 316 · 72 · 112 · 734 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-760029,219372546] |
[a1,a2,a3,a4,a6] |
j |
48552795377447041605457/7247912911144104969 |
j-invariant |
L |
0.4515391771361 |
L(r)(E,1)/r! |
Ω |
0.22576958856805 |
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 |
50589m4 118041j4 |
Quadratic twists by: -3 -7 |