Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166f |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2084190842228544 = -1 · 26 · 39 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18618,2408948] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5134:1] |
Generators of the group modulo torsion |
j |
-36261404269299/105887864768 |
j-invariant |
L |
3.5336944872197 |
L(r)(E,1)/r! |
Ω |
0.40891703438957 |
Real period |
R |
0.24004424356416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328w2 5166z1 129150ca2 36162e2 |
Quadratic twists by: -4 -3 5 -7 |