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 |
Δ |
147968000000 = 215 · 56 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17208,-874412] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:14:1] |
Generators of the group modulo torsion |
j |
8805624625/2312 |
j-invariant |
L |
1.9430681983771 |
L(r)(E,1)/r! |
Ω |
0.41684221504679 |
Real period |
R |
2.3306998766415 |
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 |
850b2 27200cl2 61200fd2 272d2 |
Quadratic twists by: -4 8 -3 5 |