Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056p |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-1340648496 = -1 · 24 · 311 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2622,-51707] |
[a1,a2,a3,a4,a6] |
Generators |
[89:648:1] |
Generators of the group modulo torsion |
j |
-170912671744/114939 |
j-invariant |
L |
6.1473952521803 |
L(r)(E,1)/r! |
Ω |
0.33357528888967 |
Real period |
R |
2.3036011123015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112r1 11352f1 |
Quadratic twists by: -4 -3 |