Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450n |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29756250000 = 24 · 32 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2313,-42969] |
[a1,a2,a3,a4,a6] |
j |
87587538121/1904400 |
j-invariant |
L |
2.7573328204511 |
L(r)(E,1)/r! |
Ω |
0.68933320511277 |
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 |
27600cw2 110400cw2 10350p2 690f2 |
Quadratic twists by: -4 8 -3 5 |