Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400dc |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
6497280000 = 213 · 33 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,62388] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:120:1] [28:30:1] |
Generators of the group modulo torsion |
j |
1176147025/2538 |
j-invariant |
L |
10.685762172168 |
L(r)(E,1)/r! |
Ω |
1.3385387320279 |
Real period |
R |
0.22175430557398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050bb1 56400bt1 |
Quadratic twists by: -4 5 |