Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800q |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-31443200 = -1 · 28 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188,968] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:34:1] |
Generators of the group modulo torsion |
j |
-115431760/4913 |
j-invariant |
L |
4.6221536999457 |
L(r)(E,1)/r! |
Ω |
2.0655261969743 |
Real period |
R |
0.74592029006401 |
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 |
1700b2 27200ch2 61200eo2 6800v2 |
Quadratic twists by: -4 8 -3 5 |