Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bb |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
520097760000 = 28 · 36 · 54 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23556,-1383300] |
[a1,a2,a3,a4,a6] |
Generators |
[1890666:29128825:5832] |
Generators of the group modulo torsion |
j |
5646857395652944/2031631875 |
j-invariant |
L |
3.928286376318 |
L(r)(E,1)/r! |
Ω |
0.38537364353423 |
Real period |
R |
10.193448468069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5460e2 87360go2 65520ds2 109200fv2 |
Quadratic twists by: -4 8 -3 5 |