Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400ec |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-20811911904000 = -1 · 28 · 38 · 53 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6852,-20592] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-714:1] |
Generators of the group modulo torsion |
j |
1111635514096/650372247 |
j-invariant |
L |
8.0517987871477 |
L(r)(E,1)/r! |
Ω |
0.40165437240287 |
Real period |
R |
0.20881860073458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400u2 |
Quadratic twists by: 5 |