Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bo |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
110073600 = 28 · 33 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1860,31500] |
[a1,a2,a3,a4,a6] |
j |
2781352607056/429975 |
j-invariant |
L |
1.8144185308309 |
L(r)(E,1)/r! |
Ω |
1.8144185308309 |
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 |
5460f2 87360gn2 65520db2 109200fr2 |
Quadratic twists by: -4 8 -3 5 |