Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4235g |
Isogeny class |
Conductor |
4235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6564740730625 = 54 · 72 · 118 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77644,-8307117] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/3705625 |
j-invariant |
L |
2.2880505177404 |
L(r)(E,1)/r! |
Ω |
0.28600631471755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67760by2 38115t2 21175i2 29645d2 |
Quadratic twists by: -4 -3 5 -7 |