Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544bk |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
436224 |
Modular degree for the optimal curve |
Δ |
-228015150297088 = -1 · 212 · 7 · 116 · 672 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-475608,126407984] |
[a1,a2,a3,a4,a6] |
Generators |
[410:402:1] |
Generators of the group modulo torsion |
j |
-2904772541375265625/55667761303 |
j-invariant |
L |
10.470017127805 |
L(r)(E,1)/r! |
Ω |
0.51416199219755 |
Real period |
R |
1.6969387868969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159b1 |
Quadratic twists by: -4 |