Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096cg |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-903201005776349952 = -1 · 28 · 37 · 78 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377757,-100509417] |
[a1,a2,a3,a4,a6] |
Generators |
[3387:193614:1] |
Generators of the group modulo torsion |
j |
-4039597907968/612012267 |
j-invariant |
L |
9.2487841800284 |
L(r)(E,1)/r! |
Ω |
0.095488353191927 |
Real period |
R |
3.4592042869571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524d1 54096bn1 |
Quadratic twists by: -4 -7 |