Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ch |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
207200783462400 = 212 · 33 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-749600,-250049100] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:30:1] |
Generators of the group modulo torsion |
j |
11372424889583066401/50586128775 |
j-invariant |
L |
6.46887389672 |
L(r)(E,1)/r! |
Ω |
0.16225281033751 |
Real period |
R |
1.661212596581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1365b4 87360dy4 65520cu4 109200dt4 |
Quadratic twists by: -4 8 -3 5 |