Atkin-Lehner |
2- 7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116522l |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160608 |
Modular degree for the optimal curve |
Δ |
-1343452284244 = -1 · 22 · 710 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 0 3 7- 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1651,61863] |
[a1,a2,a3,a4,a6] |
Generators |
[136101:2627400:343] |
Generators of the group modulo torsion |
j |
-1760913/4756 |
j-invariant |
L |
14.480114887031 |
L(r)(E,1)/r! |
Ω |
0.75600975551859 |
Real period |
R |
9.5766719165136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522j1 |
Quadratic twists by: -7 |