Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800l |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-195570288000000 = -1 · 210 · 312 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6192,-644112] |
[a1,a2,a3,a4,a6] |
j |
1640689628/12223143 |
j-invariant |
L |
3.3759715888294 |
L(r)(E,1)/r! |
Ω |
0.28133096573578 |
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 |
27600l3 110400q3 41400cb3 552d4 |
Quadratic twists by: -4 8 -3 5 |