Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8109g |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
189823581 = 36 · 173 · 53 |
Discriminant |
Eigenvalues |
0 3- 3 -4 -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-156,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
575930368/260389 |
j-invariant |
L |
3.5091353309014 |
L(r)(E,1)/r! |
Ω |
1.4095509503029 |
Real period |
R |
2.4895413182102 |
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 |
129744bn1 901c1 |
Quadratic twists by: -4 -3 |