Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12900c |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-705307500000000 = -1 · 28 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116133,15325137] |
[a1,a2,a3,a4,a6] |
j |
-43304636317696/176326875 |
j-invariant |
L |
2.043441415129 |
L(r)(E,1)/r! |
Ω |
0.51086035378225 |
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 |
51600dj1 38700d1 2580b1 |
Quadratic twists by: -4 -3 5 |