Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870s |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
128091626250 = 2 · 3 · 54 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140046,-20183910] |
[a1,a2,a3,a4,a6] |
j |
303763811101948175329/128091626250 |
j-invariant |
L |
3.9486792259861 |
L(r)(E,1)/r! |
Ω |
0.24679245162413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bl4 29610n4 49350c4 69090bm4 |
Quadratic twists by: -4 -3 5 -7 |