Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900s |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
6274851700000000 = 28 · 58 · 137 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56333,-3439463] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:338:1] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
3.5246223952326 |
L(r)(E,1)/r! |
Ω |
0.31764766360734 |
Real period |
R |
1.8493353900385 |
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 |
67600cx1 16900c1 1300e1 |
Quadratic twists by: -4 5 13 |