Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bh |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.830576171875E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5295199736,92193268941936] |
[a1,a2,a3,a4,a6] |
Generators |
[41174118567650009339701830640242177095676882423100106180756195763778:-23446328374127806052338011437482074283028697992447019788907214355468750:121428488250335267957362498083157747632409017339344435994529033] |
Generators of the group modulo torsion |
j |
4008766897254067912673785886329/1423480510711669921875000000 |
j-invariant |
L |
4.2280263830886 |
L(r)(E,1)/r! |
Ω |
0.021988809964037 |
Real period |
R |
96.140409371941 |
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 |
2730k3 87360hk4 65520eh4 109200fp4 |
Quadratic twists by: -4 8 -3 5 |