Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9108c |
Isogeny class |
Conductor |
9108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-109296 = -1 · 24 · 33 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-186624/253 |
j-invariant |
L |
3.2656052597537 |
L(r)(E,1)/r! |
Ω |
1.3126843937538 |
Real period |
R |
1.2438653477152 |
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 |
36432bd1 9108e1 100188l1 |
Quadratic twists by: -4 -3 -11 |