Atkin-Lehner |
2- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34768d |
Isogeny class |
Conductor |
34768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-11677597696 = -1 · 217 · 412 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 -1 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,181,5114] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-82:1] |
Generators of the group modulo torsion |
j |
160103007/2850976 |
j-invariant |
L |
3.1293939666267 |
L(r)(E,1)/r! |
Ω |
0.94825521071462 |
Real period |
R |
0.82504001329645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4346b1 |
Quadratic twists by: -4 |