Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9490m |
Isogeny class |
Conductor |
9490 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
2818856456000000 = 29 · 56 · 136 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205060,-35666928] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:408:1] |
Generators of the group modulo torsion |
j |
953601012705465483841/2818856456000000 |
j-invariant |
L |
4.2597452951097 |
L(r)(E,1)/r! |
Ω |
0.22439153874763 |
Real period |
R |
2.1092819962444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
75920q2 85410k2 47450e2 123370c2 |
Quadratic twists by: -4 -3 5 13 |