Atkin-Lehner |
2- 7+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116522j |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22944 |
Modular degree for the optimal curve |
Δ |
-11419156 = -1 · 22 · 74 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
-1760913/4756 |
j-invariant |
L |
5.0507967447092 |
L(r)(E,1)/r! |
Ω |
0.91998402064326 |
Real period |
R |
0.91501529688597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522l1 |
Quadratic twists by: -7 |