Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166z |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2858972348736 = -1 · 26 · 33 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2069,-88531] |
[a1,a2,a3,a4,a6] |
Generators |
[63:136:1] |
Generators of the group modulo torsion |
j |
-36261404269299/105887864768 |
j-invariant |
L |
4.8894905646624 |
L(r)(E,1)/r! |
Ω |
0.32756207241374 |
Real period |
R |
1.243909418611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41328r1 5166f2 129150a1 36162bv1 |
Quadratic twists by: -4 -3 5 -7 |