Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192bn |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
693120 |
Modular degree for the optimal curve |
Δ |
-670652760734208 = -1 · 29 · 319 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 3 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16280,-961064] |
[a1,a2,a3,a4,a6] |
j |
19019285422648/26732013741 |
j-invariant |
L |
0.27129700132591 |
L(r)(E,1)/r! |
Ω |
0.27129754662357 |
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 |
108192u1 108192bp1 |
Quadratic twists by: -4 -7 |