Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11552u |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-184832 = -1 · 29 · 192 |
Discriminant |
Eigenvalues |
2- -3 2 -2 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-4104 |
j-invariant |
L |
2.4313327001696 |
L(r)(E,1)/r! |
Ω |
1.1288395213764 |
Real period |
R |
2.1538337860505 |
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 |
11552l1 23104v1 103968y1 11552d1 |
Quadratic twists by: -4 8 -3 -19 |