Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800ba |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
376000000000 = 212 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,-17488] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:50:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
4.8243397886061 |
L(r)(E,1)/r! |
Ω |
0.74032661953857 |
Real period |
R |
1.6291254634384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1175b1 75200cr1 3760m1 |
Quadratic twists by: -4 8 5 |