Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800t |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
7569408 |
Modular degree for the optimal curve |
Δ |
-4.1629545E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 6 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5427633,-4878727137] |
[a1,a2,a3,a4,a6] |
j |
-276296409398322496/650461640625 |
j-invariant |
L |
4.3514941635324 |
L(r)(E,1)/r! |
Ω |
0.049448791206853 |
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 |
112800m1 22560r1 |
Quadratic twists by: -4 5 |