Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400p |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
194940000000000 = 211 · 33 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15075,237250] |
[a1,a2,a3,a4,a6] |
j |
438512454/225625 |
j-invariant |
L |
3.9904755329863 |
L(r)(E,1)/r! |
Ω |
0.49880944447021 |
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 |
34200g2 68400o2 13680c2 |
Quadratic twists by: -4 -3 5 |