Atkin-Lehner |
3+ 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16815b |
Isogeny class |
Conductor |
16815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-2096141085 = -1 · 39 · 5 · 192 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 -2 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-333,3078] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:30:1] |
Generators of the group modulo torsion |
j |
-4102915888729/2096141085 |
j-invariant |
L |
5.5444906355492 |
L(r)(E,1)/r! |
Ω |
1.3671360366001 |
Real period |
R |
2.0277757615613 |
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 |
50445e1 84075o1 |
Quadratic twists by: -3 5 |