Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34656bc |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-3260844103872 = -1 · 26 · 3 · 198 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2286,95772] |
[a1,a2,a3,a4,a6] |
Generators |
[-1644:3070:27] |
Generators of the group modulo torsion |
j |
-1216/3 |
j-invariant |
L |
9.0266519446172 |
L(r)(E,1)/r! |
Ω |
0.70406243335097 |
Real period |
R |
6.4104058937323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34656c1 69312h1 103968s1 34656l1 |
Quadratic twists by: -4 8 -3 -19 |