Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040q |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-269358202880 = -1 · 224 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,-44496] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/1027520 |
j-invariant |
L |
0.69625119003711 |
L(r)(E,1)/r! |
Ω |
0.34812559963806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79040bv1 2470d1 |
Quadratic twists by: -4 8 |