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 |
105349579776 = 210 · 34 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1352,11520] |
[a1,a2,a3,a4,a6] |
j |
267100692772/102880449 |
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 |
3864e2 30912cb2 23184e2 54096u2 |
Quadratic twists by: -4 8 -3 -7 |