Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830w |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2690342666375000 = -1 · 23 · 56 · 73 · 137 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9890,-2524900] |
[a1,a2,a3,a4,a6] |
Generators |
[170:760:1] |
Generators of the group modulo torsion |
j |
-22164361129/557375000 |
j-invariant |
L |
8.2776292393376 |
L(r)(E,1)/r! |
Ω |
0.1970255608168 |
Real period |
R |
0.58351349079767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cy2 106470bd2 59150l2 82810by2 |
Quadratic twists by: -4 -3 5 -7 |