Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4235g |
Isogeny class |
Conductor |
4235 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18276834988671875 = 58 · 74 · 117 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84299,-6793770] |
[a1,a2,a3,a4,a6] |
j |
37397086385121/10316796875 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67760by3 38115t3 21175i3 29645d3 |
Quadratic twists by: -4 -3 5 -7 |