Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3094b |
Isogeny class |
Conductor |
3094 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-1045772 = -1 · 22 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46,124] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
-10431681625/1045772 |
j-invariant |
L |
3.0277201986492 |
L(r)(E,1)/r! |
Ω |
2.698762250209 |
Real period |
R |
1.6828382335725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24752u1 99008v1 27846bn1 77350ba1 |
Quadratic twists by: -4 8 -3 5 |