Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bf |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2066688 |
Modular degree for the optimal curve |
Δ |
-160305092821735992 = -1 · 23 · 39 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-216725,-43294939] |
[a1,a2,a3,a4,a6] |
Generators |
[3526215:176670182:1331] |
Generators of the group modulo torsion |
j |
-19719625/2808 |
j-invariant |
L |
13.688063972444 |
L(r)(E,1)/r! |
Ω |
0.10976838775277 |
Real period |
R |
10.391625717069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41262k1 123786bh1 |
Quadratic twists by: -3 -23 |