Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800bp |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3528000000000 = -1 · 212 · 32 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2833,-106463] |
[a1,a2,a3,a4,a6] |
j |
-314432/441 |
j-invariant |
L |
2.49033511385 |
L(r)(E,1)/r! |
Ω |
0.31129188923125 |
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 |
16800bc2 33600eb1 50400cc2 16800bb2 |
Quadratic twists by: -4 8 -3 5 |