Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466s |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-19503666 = -1 · 2 · 37 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
2.4862478142612 |
L(r)(E,1)/r! |
Ω |
1.1684392735397 |
Real period |
R |
0.26597957105735 |
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 |
91728eq1 3822be1 11466bd1 |
Quadratic twists by: -4 -3 -7 |