Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36519i |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
324398277 = 34 · 72 · 37 · 472 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-259,-1372] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] |
Generators of the group modulo torsion |
j |
1921886786737/324398277 |
j-invariant |
L |
3.458520047192 |
L(r)(E,1)/r! |
Ω |
1.203726651715 |
Real period |
R |
0.71829431587799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557p2 |
Quadratic twists by: -3 |