Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834d |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
3499008 = 210 · 3 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61,152] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
24515367625/3499008 |
j-invariant |
L |
3.0943930972234 |
L(r)(E,1)/r! |
Ω |
2.4028342564463 |
Real period |
R |
2.5756192620625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54672i1 20502be1 116178b1 |
Quadratic twists by: -4 -3 17 |