Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544k |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6752050348032 = 220 · 36 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5248,77824] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:384:1] |
Generators of the group modulo torsion |
j |
3903264618625/1648449792 |
j-invariant |
L |
5.1939381194669 |
L(r)(E,1)/r! |
Ω |
0.67679677260029 |
Real period |
R |
1.9185737616294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818c1 115632t1 |
Quadratic twists by: -4 -3 |