Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953u |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
316593459 = 32 · 76 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-703249,-227051266] |
[a1,a2,a3,a4,a6] |
Generators |
[998:7586:1] |
Generators of the group modulo torsion |
j |
326936102138710273/2691 |
j-invariant |
L |
3.1693851423195 |
L(r)(E,1)/r! |
Ω |
0.16486264781107 |
Real period |
R |
4.8060994779691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897b4 |
Quadratic twists by: -7 |