Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bi |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9688728847104 = -1 · 28 · 38 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13296,608812] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1566:1] |
Generators of the group modulo torsion |
j |
-1392897753088/51915771 |
j-invariant |
L |
9.1708458738145 |
L(r)(E,1)/r! |
Ω |
0.72189970333975 |
Real period |
R |
1.5879709173213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19836g1 26448r1 |
Quadratic twists by: -4 -3 |