Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600c |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-20480000000000 = -1 · 221 · 510 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200833,-34709537] |
[a1,a2,a3,a4,a6] |
Generators |
[31593:986048:27] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
3.0954235363659 |
L(r)(E,1)/r! |
Ω |
0.11276128443925 |
Real period |
R |
6.8627799686722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1600q4 50b4 14400bh4 1600j2 |
Quadratic twists by: -4 8 -3 5 |