Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352u |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1794122514432 = 216 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3128,18516] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:270:1] [-41:282:1] |
Generators of the group modulo torsion |
j |
826614141625/438018192 |
j-invariant |
L |
9.3586131361304 |
L(r)(E,1)/r! |
Ω |
0.73321217463363 |
Real period |
R |
1.0636544986458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794b1 115056x1 |
Quadratic twists by: -4 -3 |