Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056r |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-459285209856 = -1 · 28 · 36 · 113 · 432 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1788,14708] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:43:1] |
Generators of the group modulo torsion |
j |
3387339776/2461019 |
j-invariant |
L |
4.5802958754448 |
L(r)(E,1)/r! |
Ω |
0.596276460565 |
Real period |
R |
1.9203742636027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112u1 3784f1 |
Quadratic twists by: -4 -3 |