Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728b |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
252743436288 = 211 · 32 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18992,1013472] |
[a1,a2,a3,a4,a6] |
j |
369937818893666/123409881 |
j-invariant |
L |
1.930551181033 |
L(r)(E,1)/r! |
Ω |
0.96527559051648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3864e3 30912cb4 23184e4 54096u4 |
Quadratic twists by: -4 8 -3 -7 |