Atkin-Lehner |
2+ 3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814q |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-675065664 = -1 · 26 · 37 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1485,22437] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:1] |
Generators of the group modulo torsion |
j |
-496981290961/926016 |
j-invariant |
L |
4.3467123375466 |
L(r)(E,1)/r! |
Ω |
1.6148071073928 |
Real period |
R |
0.33647303097054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938t1 |
Quadratic twists by: -3 |