Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870s |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1522139062500 = 22 · 32 · 58 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8796,-312660] |
[a1,a2,a3,a4,a6] |
j |
75263161977275329/1522139062500 |
j-invariant |
L |
3.9486792259861 |
L(r)(E,1)/r! |
Ω |
0.49358490324826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960bl2 29610n2 49350c2 69090bm2 |
Quadratic twists by: -4 -3 5 -7 |