Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134z |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-137178734 = -1 · 2 · 76 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99,671] |
[a1,a2,a3,a4,a6] |
Generators |
[830:8013:8] |
Generators of the group modulo torsion |
j |
-912673/1166 |
j-invariant |
L |
13.718171639507 |
L(r)(E,1)/r! |
Ω |
1.66455695286 |
Real period |
R |
4.1206675493802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166d1 |
Quadratic twists by: -7 |