Atkin-Lehner |
2- 3- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106cf |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-23656726070820864 = -1 · 225 · 39 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67387,3053373] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-1728:1] |
Generators of the group modulo torsion |
j |
46422721079998199/32450927394816 |
j-invariant |
L |
11.444492946223 |
L(r)(E,1)/r! |
Ω |
0.24006858021864 |
Real period |
R |
0.23835882524469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30702f1 |
Quadratic twists by: -3 |