Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bl |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
58895638516824984 = 23 · 315 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2175242,1235324913] |
[a1,a2,a3,a4,a6] |
Generators |
[-493:47019:1] |
Generators of the group modulo torsion |
j |
270853478089369/14014296 |
j-invariant |
L |
11.57792186959 |
L(r)(E,1)/r! |
Ω |
0.33193858461873 |
Real period |
R |
5.8132851513177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166a1 78498by1 |
Quadratic twists by: -3 -7 |