Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286cj |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8833660416 = -1 · 29 · 37 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 -7 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-734,9069] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:135:1] [-1:99:1] |
Generators of the group modulo torsion |
j |
-174676879/35328 |
j-invariant |
L |
9.0122305761847 |
L(r)(E,1)/r! |
Ω |
1.2478505951064 |
Real period |
R |
0.10030837794568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762i1 20286ch1 |
Quadratic twists by: -3 -7 |