Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870u |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4297950720000 = -1 · 212 · 36 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3420,125712] |
[a1,a2,a3,a4,a6] |
Generators |
[24:228:1] |
Generators of the group modulo torsion |
j |
-4423947525305281/4297950720000 |
j-invariant |
L |
7.8279355943147 |
L(r)(E,1)/r! |
Ω |
0.7088549750586 |
Real period |
R |
0.076687990861479 |
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 |
78960cd1 29610e1 49350e1 69090bf1 |
Quadratic twists by: -4 -3 5 -7 |