Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728u |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2326998161424384 = 217 · 38 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53544,-4183884] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:672:1] |
Generators of the group modulo torsion |
j |
4144806984356137/568114785504 |
j-invariant |
L |
4.6917603110417 |
L(r)(E,1)/r! |
Ω |
0.31670190039369 |
Real period |
R |
0.30863410152743 |
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 |
966a2 30912bs2 23184bu2 54096bv2 |
Quadratic twists by: -4 8 -3 -7 |