Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600go |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.21085E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4928033,-4147884063] |
[a1,a2,a3,a4,a6] |
Generators |
[-9494:42075:8] |
Generators of the group modulo torsion |
j |
25850840101954568/431806640625 |
j-invariant |
L |
5.1349125736362 |
L(r)(E,1)/r! |
Ω |
0.10143108794793 |
Real period |
R |
4.2187202155383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600is2 40800ba2 16320ck2 |
Quadratic twists by: -4 8 5 |