Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162ck |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
-10484322943729536 = -1 · 27 · 313 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,4926683] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:2209:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
10.256604974994 |
L(r)(E,1)/r! |
Ω |
0.32375031363516 |
Real period |
R |
1.1314500869698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054n1 522d1 |
Quadratic twists by: -3 -11 |