Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870k |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6234681600 = 28 · 32 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1263,16738] |
[a1,a2,a3,a4,a6] |
j |
222556033261801/6234681600 |
j-invariant |
L |
2.6716569936421 |
L(r)(E,1)/r! |
Ω |
1.335828496821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960cb2 29610bc2 49350bo2 69090h2 |
Quadratic twists by: -4 -3 5 -7 |