Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bn |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
10639897067520 = 216 · 38 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16223,-775609] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:150:1] |
Generators of the group modulo torsion |
j |
647686121198761/14595194880 |
j-invariant |
L |
10.334718516984 |
L(r)(E,1)/r! |
Ω |
0.42360844274618 |
Real period |
R |
0.76240207007451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210q1 |
Quadratic twists by: -3 |