Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1683f |
Isogeny class |
Conductor |
1683 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-17963145387 = -1 · 38 · 115 · 17 |
Discriminant |
Eigenvalues |
0 3- 2 1 11+ -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2424,-46386] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1426:1] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
2.7142855768612 |
L(r)(E,1)/r! |
Ω |
0.33997060115337 |
Real period |
R |
3.991941608558 |
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 |
26928bv1 107712cm1 561b1 42075s1 |
Quadratic twists by: -4 8 -3 5 |