Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144be |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1106420137984 = 215 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3 1 7- -4 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31507,-2151982] |
[a1,a2,a3,a4,a6] |
j |
7177888089/2296 |
j-invariant |
L |
5.7335830937064 |
L(r)(E,1)/r! |
Ω |
0.35834894335619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018k1 128576df1 4592g1 |
Quadratic twists by: -4 8 -7 |