Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450d |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
323437500 = 22 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2760000,1763716500] |
[a1,a2,a3,a4,a6] |
j |
148809678420065817601/20700 |
j-invariant |
L |
1.3612873744943 |
L(r)(E,1)/r! |
Ω |
0.68064368724715 |
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 |
27600ch4 110400dq4 10350bj3 690k4 |
Quadratic twists by: -4 8 -3 5 |