Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300o |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.1059884354636E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3603542,-506113287] |
[a1,a2,a3,a4,a6] |
Generators |
[3572:240737:1] |
Generators of the group modulo torsion |
j |
281516652800/168962983 |
j-invariant |
L |
3.5626151321775 |
L(r)(E,1)/r! |
Ω |
0.08275837522172 |
Real period |
R |
1.7936830782521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300bl2 11900a2 |
Quadratic twists by: 5 -7 |