Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2184m |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8414025984 = 28 · 34 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644,-4704] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:24:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
3.2926260654929 |
L(r)(E,1)/r! |
Ω |
0.96807861908396 |
Real period |
R |
1.7005984847638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
4368d2 17472h2 6552l2 54600d2 |
Quadratic twists by: -4 8 -3 5 |