Atkin-Lehner |
2- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904n |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3241367545567400704 = -1 · 28 · 73 · 139 · 592 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4706189,3932158241] |
[a1,a2,a3,a4,a6] |
Generators |
[10490:29913:8] |
Generators of the group modulo torsion |
j |
-45028961639025538342912/12661591974872659 |
j-invariant |
L |
13.090470514307 |
L(r)(E,1)/r! |
Ω |
0.24607900486556 |
Real period |
R |
1.4776725106319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476j2 |
Quadratic twists by: -4 |