Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800w |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-27200000000 = -1 · 212 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- -1 4 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,-18412] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
2.4106005204343 |
L(r)(E,1)/r! |
Ω |
0.40176675340572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
425b1 27200cw1 61200gp1 6800k1 |
Quadratic twists by: -4 8 -3 5 |