Atkin-Lehner |
3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39249g |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.8526337714428E+21 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6732756,-6212082591] |
[a1,a2,a3,a4,a6] |
Generators |
[-57279340616052130476862:-344708600497222716696999:32207392882534174136] |
Generators of the group modulo torsion |
j |
393537938975182513/33260613144003 |
j-invariant |
L |
7.0552593170246 |
L(r)(E,1)/r! |
Ω |
0.094228429890071 |
Real period |
R |
37.436999243513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13083i4 5607e4 |
Quadratic twists by: -3 -7 |