Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936x |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-918362446848 = -1 · 210 · 32 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,46080] |
[a1,a2,a3,a4,a6] |
j |
-62500/7623 |
j-invariant |
L |
2.9011764984254 |
L(r)(E,1)/r! |
Ω |
0.72529412460634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25872i1 103488bl1 38808be1 1848h1 |
Quadratic twists by: -4 8 -3 -7 |