Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536bc |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-175418181328896 = -1 · 213 · 314 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1704,637236] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1944:1] [-60:726:1] |
Generators of the group modulo torsion |
j |
-133667977897/42826704426 |
j-invariant |
L |
7.3683445779743 |
L(r)(E,1)/r! |
Ω |
0.46415132678074 |
Real period |
R |
0.56695984329999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442b2 78144cd2 58608bp2 |
Quadratic twists by: -4 8 -3 |