Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936ba |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-382491648 = -1 · 210 · 32 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,-1408] |
[a1,a2,a3,a4,a6] |
Generators |
[23:84:1] |
Generators of the group modulo torsion |
j |
-1972156/1089 |
j-invariant |
L |
4.8930426097355 |
L(r)(E,1)/r! |
Ω |
0.63161897686055 |
Real period |
R |
1.9367066178316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25872e1 103488v1 38808u1 12936s1 |
Quadratic twists by: -4 8 -3 -7 |