Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834h |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-61506 = -1 · 2 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-615,5812] |
[a1,a2,a3,a4,a6] |
Generators |
[4:56:1] |
Generators of the group modulo torsion |
j |
-25664543546473/61506 |
j-invariant |
L |
2.7157894917771 |
L(r)(E,1)/r! |
Ω |
3.0292103097072 |
Real period |
R |
2.68960146122 |
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 |
54672o1 20502bh1 116178h1 |
Quadratic twists by: -4 -3 17 |