Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bf |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1401241959936000000 = -1 · 215 · 34 · 56 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-819096,291233520] |
[a1,a2,a3,a4,a6] |
Generators |
[474:3042:1] |
Generators of the group modulo torsion |
j |
-14837772556740428569/342100087875000 |
j-invariant |
L |
2.9206497596028 |
L(r)(E,1)/r! |
Ω |
0.26974527102762 |
Real period |
R |
0.90228636461243 |
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 |
2730o4 87360gs4 65520ea4 109200ge4 |
Quadratic twists by: -4 8 -3 5 |