Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684k |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
7654010112 = 28 · 39 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,8372] |
[a1,a2,a3,a4,a6] |
j |
7168000/837 |
j-invariant |
L |
2.548824926368 |
L(r)(E,1)/r! |
Ω |
1.2744124632165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228b1 54684i1 |
Quadratic twists by: -3 -7 |