Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bm |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-560496783974400 = -1 · 213 · 34 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31760,-2447808] |
[a1,a2,a3,a4,a6] |
j |
-865005601073041/136840035150 |
j-invariant |
L |
1.4181625715203 |
L(r)(E,1)/r! |
Ω |
0.17727032144004 |
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 |
2730bb2 87360gh2 65520cw2 109200fj2 |
Quadratic twists by: -4 8 -3 5 |