Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870u |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
10437525000000 = 26 · 33 · 58 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63900,6210000] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:3600:1] |
Generators of the group modulo torsion |
j |
28855374247604721601/10437525000000 |
j-invariant |
L |
7.8279355943147 |
L(r)(E,1)/r! |
Ω |
0.7088549750586 |
Real period |
R |
0.15337598172296 |
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 |
78960cd2 29610e2 49350e2 69090bf2 |
Quadratic twists by: -4 -3 5 -7 |