Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bq |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1.713073883457E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17490873,-28168508313] |
[a1,a2,a3,a4,a6] |
Generators |
[4866:44289:1] |
Generators of the group modulo torsion |
j |
-144476844676617188728000/41823092857837347 |
j-invariant |
L |
6.5187463535725 |
L(r)(E,1)/r! |
Ω |
0.036911283208428 |
Real period |
R |
4.4151447653266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728w2 24864a1 |
Quadratic twists by: -4 8 |