Atkin-Lehner |
3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15609c |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-118898763489 = -1 · 312 · 112 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 3 -2 11- 3 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-899,-19942] |
[a1,a2,a3,a4,a6] |
j |
-664121606137/982634409 |
j-invariant |
L |
1.656120312607 |
L(r)(E,1)/r! |
Ω |
0.41403007815176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827m1 15609g1 |
Quadratic twists by: -3 -11 |