Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ch |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
757262338560000 = 212 · 36 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47600,-3787500] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:390:1] |
Generators of the group modulo torsion |
j |
2912015927948401/184878500625 |
j-invariant |
L |
6.46887389672 |
L(r)(E,1)/r! |
Ω |
0.32450562067501 |
Real period |
R |
0.83060629829049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1365b2 87360dy2 65520cu2 109200dt2 |
Quadratic twists by: -4 8 -3 5 |