Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800t |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
69632000000 = 218 · 56 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,-10412] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:64:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
1.9430681983771 |
L(r)(E,1)/r! |
Ω |
0.83368443009359 |
Real period |
R |
1.1653499383208 |
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 |
850b1 27200cl1 61200fd1 272d1 |
Quadratic twists by: -4 8 -3 5 |