Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056c |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,223] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] [2:9:1] |
Generators of the group modulo torsion |
j |
4000000/473 |
j-invariant |
L |
8.1877390336475 |
L(r)(E,1)/r! |
Ω |
2.3280143150998 |
Real period |
R |
0.8792621012402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112q1 3784g1 |
Quadratic twists by: -4 -3 |