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 |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2553109524 = -1 · 22 · 33 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25383,1562913] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:1779:1] |
Generators of the group modulo torsion |
j |
-66988217452346091/94559612 |
j-invariant |
L |
3.5336944872197 |
L(r)(E,1)/r! |
Ω |
1.2267511031687 |
Real period |
R |
0.72013273069249 |
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 |
41328w1 5166z2 129150ca1 36162e1 |
Quadratic twists by: -4 -3 5 -7 |