Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816bn |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18872086298624 = -1 · 233 · 133 |
Discriminant |
Eigenvalues |
2- -1 3 3 0 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20609,-1150943] |
[a1,a2,a3,a4,a6] |
Generators |
[4503:4096:27] |
Generators of the group modulo torsion |
j |
-1680914269/32768 |
j-invariant |
L |
4.8372480098815 |
L(r)(E,1)/r! |
Ω |
0.19899939471616 |
Real period |
R |
3.0384816099447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816s2 2704n2 97344go2 10816bo2 |
Quadratic twists by: -4 8 -3 13 |