Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8109g |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1845032661 = 36 · 17 · 533 |
Discriminant |
Eigenvalues |
0 3- 3 -4 -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6276,191358] |
[a1,a2,a3,a4,a6] |
Generators |
[98826:16866:2197] |
Generators of the group modulo torsion |
j |
37501184770048/2530909 |
j-invariant |
L |
3.5091353309014 |
L(r)(E,1)/r! |
Ω |
1.4095509503029 |
Real period |
R |
7.4686239546306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129744bn2 901c2 |
Quadratic twists by: -4 -3 |