Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bc |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1426535316856125 = -1 · 32 · 53 · 710 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22612,1262531] |
[a1,a2,a3,a4,a6] |
Generators |
[2265:106912:1] |
Generators of the group modulo torsion |
j |
10868760308951/12125350125 |
j-invariant |
L |
8.5975683139842 |
L(r)(E,1)/r! |
Ω |
0.31879910463372 |
Real period |
R |
2.2473840602114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035b2 |
Quadratic twists by: -7 |