Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53845d |
Isogeny class |
Conductor |
53845 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3858947037275 = 52 · 117 · 892 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177691,28815150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5385:1] |
Generators of the group modulo torsion |
j |
350238632340169/2178275 |
j-invariant |
L |
1.49277940026 |
L(r)(E,1)/r! |
Ω |
0.69930055762478 |
Real period |
R |
0.53366874372948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895c2 |
Quadratic twists by: -11 |