Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800g |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6225985080000000 = 29 · 33 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56008,3427012] |
[a1,a2,a3,a4,a6] |
j |
2428799546888/778248135 |
j-invariant |
L |
1.5669074219124 |
L(r)(E,1)/r! |
Ω |
0.39172685547809 |
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 |
16800br2 33600cq3 50400dn3 3360v3 |
Quadratic twists by: -4 8 -3 5 |