Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200ck |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
236852100000000 = 28 · 38 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22575,1075250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1350:1] |
Generators of the group modulo torsion |
j |
436334416/81225 |
j-invariant |
L |
4.4619332037921 |
L(r)(E,1)/r! |
Ω |
0.52930727194166 |
Real period |
R |
1.0537199846661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400cf2 11400c2 6840f2 |
Quadratic twists by: -4 -3 5 |