Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cz |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-1.6337342768197E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147764255,-694049451753] |
[a1,a2,a3,a4,a6] |
j |
-31324512477868037557921/143427974919699600 |
j-invariant |
L |
3.4632048934913 |
L(r)(E,1)/r! |
Ω |
0.021645032595621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150h2 19890d2 |
Quadratic twists by: -3 5 |