Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15884f |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-132481200896 = -1 · 28 · 11 · 196 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11+ 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,12889] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2527:1] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
3.3157083328223 |
L(r)(E,1)/r! |
Ω |
0.70065164632037 |
Real period |
R |
2.3661603810078 |
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 |
63536bm1 44a1 |
Quadratic twists by: -4 -19 |