Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728r |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2722740830208 = -1 · 228 · 32 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2016,-70668] |
[a1,a2,a3,a4,a6] |
j |
221115865823/664731648 |
j-invariant |
L |
1.6553165896498 |
L(r)(E,1)/r! |
Ω |
0.41382914741245 |
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 |
966g1 30912bk1 23184bi1 54096bw1 |
Quadratic twists by: -4 8 -3 -7 |