Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450d |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4588534293808593750 = 2 · 3 · 510 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-645750,-171356250] |
[a1,a2,a3,a4,a6] |
j |
1905890658841300321/293666194803750 |
j-invariant |
L |
1.3612873744943 |
L(r)(E,1)/r! |
Ω |
0.17016092181179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600ch6 110400dq6 10350bj5 690k5 |
Quadratic twists by: -4 8 -3 5 |