Atkin-Lehner |
3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15609g |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
-210636412345336329 = -1 · 312 · 118 · 432 |
Discriminant |
Eigenvalues |
1 3+ 3 2 11- -3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108781,25998658] |
[a1,a2,a3,a4,a6] |
Generators |
[98548:3743713:64] |
Generators of the group modulo torsion |
j |
-664121606137/982634409 |
j-invariant |
L |
6.2179982569149 |
L(r)(E,1)/r! |
Ω |
0.28425385596131 |
Real period |
R |
1.8229005888318 |
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 |
46827r1 15609c1 |
Quadratic twists by: -3 -11 |