Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450ba |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-114065625000 = -1 · 23 · 3 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75638,-8013108] |
[a1,a2,a3,a4,a6] |
j |
-122513556330625/292008 |
j-invariant |
L |
3.8864064833266 |
L(r)(E,1)/r! |
Ω |
0.14394098086395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600cb2 110400bu2 10350w2 3450e2 |
Quadratic twists by: -4 8 -3 5 |